63:@0.911172:0.510692:0.930079:0.510692:0.930079:0.494068:0.911172:0.494068:0.000000:0.000000
a):@0.162787:0.796547:0.177695:0.796547:0.177695:0.779646:0.162787:0.779646:0.000000:0.000000
 :@0.177695:0.796547:0.181731:0.796547:0.181731:0.780158:0.177695:0.780158:0.000000
Agrupamos:@0.189599:0.796547:0.279176:0.796547:0.279176:0.779923:0.189599:0.779923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de dos en dos los términos que contengan :@0.279176:0.796547:0.602115:0.796547:0.602115:0.780158:0.279176:0.780158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un factor común.:@0.189599:0.813143:0.315755:0.813143:0.315755:0.796754:0.189599:0.796754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  + :@0.633171:0.804845:0.671604:0.804845:0.671604:0.788456:0.633171:0.788456:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.638054:0.804845:0.647324:0.804845:0.647324:0.788484:0.638054:0.788484:0.000000
2:@0.647307:0.798798:0.652549:0.798798:0.652549:0.789243:0.647307:0.789243:0.000000
ab:@0.671604:0.804845:0.690143:0.804845:0.690143:0.788484:0.671604:0.788484:0.000000:0.000000
) – (  +  ):@0.690143:0.804845:0.774431:0.804845:0.774431:0.788456:0.690143:0.788456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.717194:0.804845:0.733927:0.804845:0.733927:0.788484:0.717194:0.788484:0.000000:0.000000
bx:@0.752981:0.804845:0.769547:0.804845:0.769547:0.788484:0.752981:0.788484:0.000000:0.000000
b):@0.162781:0.839600:0.178997:0.839600:0.178997:0.822700:0.162781:0.822700:0.000000:0.000000
 :@0.178997:0.839600:0.183033:0.839600:0.183033:0.823212:0.178997:0.823212:0.000000
Extraemos:@0.189593:0.839600:0.270361:0.839600:0.270361:0.822976:0.189593:0.822976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el factor común en ambas agrupaciones.:@0.270361:0.839600:0.572882:0.839600:0.572882:0.823212:0.270361:0.823212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.633164:0.839600:0.656586:0.839600:0.656586:0.823239:0.633164:0.823239:0.000000:0.000000:0.000000
(  +  ) –  (  +  ):@0.642433:0.839600:0.761900:0.839600:0.761900:0.823212:0.642433:0.823212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.675640:0.839600:0.684909:0.839600:0.684909:0.823239:0.675640:0.823239:0.000000
x a:@0.707078:0.839600:0.728693:0.839600:0.728693:0.823239:0.707078:0.823239:0.000000:0.000000:0.000000
b:@0.747747:0.839600:0.757017:0.839600:0.757017:0.823239:0.747747:0.823239:0.000000
c):@0.162799:0.866058:0.176620:0.866058:0.176620:0.849157:0.162799:0.849157:0.000000:0.000000
  Nuevamente :@0.176620:0.866058:0.289323:0.866058:0.289323:0.849669:0.176620:0.849669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacemos:@0.289305:0.866058:0.358574:0.866058:0.358574:0.849434:0.289305:0.849434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 factor común. De no existir,  :@0.358574:0.866058:0.570820:0.866058:0.570820:0.849669:0.358574:0.849669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agrupamos:@0.189593:0.882654:0.276995:0.882654:0.276995:0.866030:0.189593:0.866030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de otro modo.:@0.276995:0.882654:0.386195:0.882654:0.386195:0.866265:0.276995:0.866265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  )(  –  ):@0.633164:0.874356:0.724307:0.874356:0.724307:0.857967:0.633164:0.857967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.638048:0.874356:0.647317:0.874356:0.647317:0.857995:0.638048:0.857995:0.000000
b a x:@0.666371:0.874356:0.719424:0.874356:0.719424:0.857995:0.666371:0.857995:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.162799:0.909112:0.176620:0.909112:0.176620:0.892211:0.162799:0.892211:0.000000:0.000000
 :@0.176620:0.909112:0.180655:0.909112:0.180655:0.892723:0.176620:0.892723:0.000000
Escribimos:@0.189611:0.909112:0.272222:0.909112:0.272222:0.892488:0.189611:0.892488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los factores.:@0.272222:0.909112:0.361928:0.909112:0.361928:0.892723:0.272222:0.892723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.633183:0.909112:0.642452:0.909112:0.642452:0.892750:0.633183:0.892750:0.000000
2:@0.642423:0.903045:0.647666:0.903045:0.647666:0.893491:0.642423:0.893491:0.000000
 + :@0.647667:0.909093:0.666721:0.909093:0.666721:0.892704:0.647667:0.892704:0.000000:0.000000:0.000000
ab ax bx:@0.666721:0.909093:0.753128:0.909093:0.753128:0.892731:0.666721:0.892731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 –   –   = (  +  )(  –  ):@0.685259:0.909093:0.863326:0.909093:0.863326:0.892704:0.685259:0.892704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.777066:0.909093:0.786335:0.909093:0.786335:0.892731:0.777066:0.892731:0.000000
b a x:@0.805389:0.909093:0.858442:0.909093:0.858442:0.892731:0.805389:0.892731:0.000000:0.000000:0.000000:0.000000:0.000000
Agrupación de términos:@0.120102:0.662198:0.364859:0.662198:0.364859:0.640688:0.120102:0.640688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La agrupación de términos es factible en polinomios que tienen un número par de términos, los cuales :@0.120102:0.681416:0.888684:0.681416:0.888684:0.665027:0.120102:0.665027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen términos comunes de dos en dos o de tres en tres, los cuales se agrupan para luego realizar un :@0.120102:0.698012:0.888754:0.698012:0.888754:0.681623:0.120102:0.681623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proceso de doble factor común.:@0.120102:0.714608:0.355511:0.714608:0.355511:0.698219:0.120102:0.698219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.119955:0.172018:0.138696:0.172018:0.138696:0.154882:0.119955:0.154882:0.000000:0.000000:0.000000
Determina:@0.153198:0.172018:0.234888:0.172018:0.234888:0.155394:0.153198:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el factor común de las siguientes expresiones.:@0.234888:0.172018:0.574305:0.172018:0.574305:0.155629:0.234888:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.180593:0.130781:0.241488:0.130781:0.241488:0.096834:0.180593:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplica las propiedades algebraicas de los números reales en productos notables y factorización. (Ref. I.M.5.1.1.):@0.261615:0.118806:0.772925:0.118806:0.772925:0.108377:0.261615:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.152143:0.199178:0.167051:0.199178:0.167051:0.182277:0.152143:0.182277:0.000000:0.000000
a:@0.183967:0.199178:0.193236:0.199178:0.193236:0.182817:0.183967:0.182817:0.000000
3:@0.193228:0.193130:0.198471:0.193130:0.198471:0.183576:0.193228:0.183576:0.000000
 +                    factor común::@0.198472:0.199178:0.411292:0.199178:0.411292:0.182789:0.198472:0.182789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.217526:0.199178:0.230112:0.199178:0.230112:0.182817:0.217526:0.182817:0.000000:0.000000
e):@0.547486:0.199178:0.562541:0.199178:0.562541:0.182277:0.547486:0.182277:0.000000:0.000000
4:@0.579310:0.199178:0.588303:0.199178:0.588303:0.182789:0.579310:0.182789:0.000000
m:@0.588303:0.199178:0.602935:0.199178:0.602935:0.182817:0.588303:0.182817:0.000000
2:@0.602926:0.193130:0.608169:0.193130:0.608169:0.183576:0.602926:0.183576:0.000000
 –                     factor común::@0.608170:0.199178:0.819707:0.199178:0.819707:0.182789:0.608170:0.182789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.625455:0.199178:0.634964:0.199178:0.634964:0.182817:0.625455:0.182817:0.000000
2:@0.634964:0.193130:0.640206:0.193130:0.640206:0.183576:0.634964:0.183576:0.000000
b):@0.152143:0.227681:0.168359:0.227681:0.168359:0.210780:0.152143:0.210780:0.000000:0.000000
a b:@0.183967:0.227681:0.207741:0.227681:0.207741:0.211320:0.183967:0.211320:0.000000:0.000000:0.000000
3:@0.193228:0.221633:0.198471:0.221633:0.198471:0.212079:0.193228:0.212079:0.000000
 + :@0.207741:0.227681:0.226795:0.227681:0.226795:0.211292:0.207741:0.211292:0.000000:0.000000:0.000000
a b:@0.226795:0.227681:0.250575:0.227681:0.250575:0.211320:0.226795:0.211320:0.000000:0.000000:0.000000
2 2:@0.236062:0.221633:0.255817:0.221633:0.255817:0.212079:0.236062:0.212079:0.000000:0.000000:0.000000
 + :@0.255817:0.227681:0.274871:0.227681:0.274871:0.211292:0.255817:0.211292:0.000000:0.000000:0.000000
ab:@0.274871:0.227681:0.293409:0.227681:0.293409:0.211320:0.274871:0.211320:0.000000:0.000000
3:@0.293409:0.221633:0.298652:0.221633:0.298652:0.212079:0.293409:0.212079:0.000000
   factor común::@0.298651:0.227681:0.411371:0.227681:0.411371:0.211292:0.298651:0.211292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f):@0.547486:0.227681:0.560496:0.227681:0.560496:0.210780:0.547486:0.210780:0.000000:0.000000
20  – 12  + 4      factor común::@0.579310:0.227681:0.820010:0.227681:0.820010:0.211292:0.579310:0.211292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.597296:0.227681:0.604759:0.227681:0.604759:0.211320:0.597296:0.211320:0.000000
xy:@0.640030:0.227681:0.655177:0.227681:0.655177:0.211320:0.640030:0.211320:0.000000:0.000000
xz:@0.683224:0.227681:0.697929:0.227681:0.697929:0.211320:0.683224:0.211320:0.000000:0.000000
c):@0.152143:0.255588:0.165963:0.255588:0.165963:0.238687:0.152143:0.238687:0.000000:0.000000
3:@0.183967:0.255588:0.192960:0.255588:0.192960:0.239199:0.183967:0.239199:0.000000
xy:@0.192960:0.255588:0.208107:0.255588:0.208107:0.239227:0.192960:0.239227:0.000000:0.000000
2:@0.208099:0.249541:0.213342:0.249541:0.213342:0.239986:0.208099:0.239986:0.000000
 + 6                 factor común::@0.213343:0.255588:0.411292:0.255588:0.411292:0.239199:0.213343:0.239199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g):@0.547486:0.255588:0.563592:0.255588:0.563592:0.238687:0.547486:0.238687:0.000000:0.000000
6:@0.579310:0.255588:0.588303:0.255588:0.588303:0.239199:0.579310:0.239199:0.000000
x y:@0.588303:0.255588:0.608483:0.255588:0.608483:0.239227:0.588303:0.239227:0.000000:0.000000:0.000000
3 2:@0.595758:0.249541:0.613726:0.249541:0.613726:0.239986:0.595758:0.239986:0.000000:0.000000:0.000000
 – 4:@0.613725:0.255588:0.640003:0.255588:0.640003:0.239199:0.613725:0.239199:0.000000:0.000000:0.000000:0.000000
x y:@0.640003:0.255588:0.660191:0.255588:0.660191:0.239227:0.640003:0.239227:0.000000:0.000000:0.000000
2 3:@0.647466:0.249541:0.665432:0.249541:0.665432:0.239986:0.647466:0.239986:0.000000:0.000000:0.000000
 + 8:@0.665433:0.255588:0.693480:0.255588:0.693480:0.239199:0.665433:0.239199:0.000000:0.000000:0.000000:0.000000
xy:@0.693480:0.255588:0.708627:0.255588:0.708627:0.239227:0.693480:0.239227:0.000000:0.000000
4:@0.708626:0.249541:0.713868:0.249541:0.713868:0.239986:0.708626:0.239986:0.000000
 factor común::@0.713869:0.255588:0.820362:0.255588:0.820362:0.239199:0.713869:0.239199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.152143:0.283496:0.168396:0.283496:0.168396:0.266596:0.152143:0.266596:0.000000:0.000000
2:@0.183967:0.283496:0.192960:0.283496:0.192960:0.267107:0.183967:0.267107:0.000000
m n:@0.192960:0.283496:0.222335:0.283496:0.222335:0.267135:0.192960:0.267135:0.000000:0.000000:0.000000
2 2:@0.207583:0.277449:0.227578:0.277449:0.227578:0.267894:0.207583:0.267894:0.000000:0.000000:0.000000
 + 4:@0.227577:0.283496:0.255624:0.283496:0.255624:0.267107:0.227577:0.267107:0.000000:0.000000:0.000000:0.000000
mn:@0.255624:0.283496:0.279764:0.283496:0.279764:0.267135:0.255624:0.267135:0.000000:0.000000
       factor común::@0.279764:0.283496:0.410470:0.283496:0.410470:0.267107:0.279764:0.267107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.120107:0.318570:0.138848:0.318570:0.138848:0.301434:0.120107:0.301434:0.000000:0.000000:0.000000
Factoriza:@0.153351:0.318570:0.222159:0.318570:0.222159:0.301946:0.153351:0.301946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes polinomios. :@0.222159:0.318570:0.419519:0.318570:0.419519:0.302181:0.222159:0.302181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.152143:0.343083:0.167051:0.343083:0.167051:0.326183:0.152143:0.326183:0.000000:0.000000
6  – 10 =:@0.183967:0.343083:0.250712:0.343083:0.250712:0.326695:0.183967:0.326695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.192960:0.343083:0.200423:0.343083:0.200423:0.326722:0.192960:0.326722:0.000000
e):@0.152143:0.453320:0.167198:0.453320:0.167198:0.436419:0.152143:0.436419:0.000000:0.000000
36:@0.183967:0.453320:0.201953:0.453320:0.201953:0.436931:0.183967:0.436931:0.000000:0.000000
x y z:@0.201953:0.453320:0.234616:0.453320:0.234616:0.436959:0.201953:0.436959:0.000000:0.000000:0.000000:0.000000:0.000000
3 2:@0.209407:0.447273:0.227375:0.447273:0.227375:0.437718:0.209407:0.437718:0.000000:0.000000:0.000000
 – 24:@0.234616:0.453320:0.269887:0.453320:0.269887:0.436931:0.234616:0.436931:0.000000:0.000000:0.000000:0.000000:0.000000
xz:@0.269887:0.453320:0.284592:0.453320:0.284592:0.436959:0.269887:0.436959:0.000000:0.000000
2:@0.284592:0.447273:0.289835:0.447273:0.289835:0.437718:0.284592:0.437718:0.000000
 =:@0.289834:0.453320:0.304853:0.453320:0.304853:0.436931:0.289834:0.436931:0.000000:0.000000
b):@0.152143:0.370642:0.168359:0.370642:0.168359:0.353742:0.152143:0.353742:0.000000:0.000000
a b:@0.183967:0.370642:0.207741:0.370642:0.207741:0.354281:0.183967:0.354281:0.000000:0.000000:0.000000
2:@0.193228:0.364595:0.198471:0.364595:0.198471:0.355040:0.193228:0.355040:0.000000
 + 3:@0.207741:0.370642:0.235787:0.370642:0.235787:0.354253:0.207741:0.354253:0.000000:0.000000:0.000000:0.000000
ab:@0.235787:0.370642:0.254326:0.370642:0.254326:0.354281:0.235787:0.354281:0.000000:0.000000
2:@0.254324:0.364595:0.259567:0.364595:0.259567:0.355040:0.254324:0.355040:0.000000
 =:@0.259568:0.370642:0.274586:0.370642:0.274586:0.354253:0.259568:0.354253:0.000000:0.000000
f):@0.152143:0.480879:0.165153:0.480879:0.165153:0.463978:0.152143:0.463978:0.000000:0.000000
21:@0.183967:0.480879:0.201953:0.480879:0.201953:0.464490:0.183967:0.464490:0.000000:0.000000
fg:@0.201953:0.480879:0.215921:0.480879:0.215921:0.464517:0.201953:0.464517:0.000000:0.000000
2:@0.215912:0.474831:0.221155:0.474831:0.221155:0.465277:0.215912:0.465277:0.000000
 – 14  =:@0.221154:0.480879:0.280712:0.480879:0.280712:0.464490:0.221154:0.464490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.256425:0.480879:0.265694:0.480879:0.265694:0.464517:0.256425:0.464517:0.000000
i):@0.152143:0.563556:0.162407:0.563556:0.162407:0.546656:0.152143:0.546656:0.000000:0.000000
(  – 2)  – (  – 2) =:@0.183967:0.563556:0.322858:0.563556:0.322858:0.547167:0.183967:0.547167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.188851:0.563556:0.203482:0.563556:0.203482:0.547195:0.188851:0.547195:0.000000
2:@0.234635:0.557509:0.239878:0.557509:0.239878:0.547954:0.234635:0.547954:0.000000
m:@0.262047:0.563556:0.276678:0.563556:0.276678:0.547195:0.262047:0.547195:0.000000
c):@0.152143:0.398201:0.165963:0.398201:0.165963:0.381300:0.152143:0.381300:0.000000:0.000000
12:@0.183967:0.398201:0.201953:0.398201:0.201953:0.381812:0.183967:0.381812:0.000000:0.000000
xy:@0.201953:0.398201:0.217100:0.398201:0.217100:0.381840:0.201953:0.381840:0.000000:0.000000
2:@0.217092:0.392154:0.222334:0.392154:0.222334:0.382599:0.217092:0.382599:0.000000
 – 4  =:@0.222334:0.398201:0.276355:0.398201:0.276355:0.381812:0.222334:0.381812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.248611:0.398201:0.256093:0.398201:0.256093:0.381840:0.248611:0.381840:0.000000
3:@0.256093:0.392154:0.261336:0.392154:0.261336:0.382599:0.256093:0.382599:0.000000
g):@0.152143:0.508437:0.168249:0.508437:0.168249:0.491537:0.152143:0.491537:0.000000:0.000000
16:@0.183967:0.508437:0.201953:0.508437:0.201953:0.492049:0.183967:0.492049:0.000000:0.000000
p q:@0.201953:0.508437:0.225726:0.508437:0.225726:0.492076:0.201953:0.492076:0.000000:0.000000:0.000000
2:@0.211213:0.502390:0.216456:0.502390:0.216456:0.492835:0.211213:0.492835:0.000000
 – 12:@0.225726:0.508437:0.260996:0.508437:0.260996:0.492049:0.225726:0.492049:0.000000:0.000000:0.000000:0.000000:0.000000
pq:@0.260996:0.508437:0.279535:0.508437:0.279535:0.492076:0.260996:0.492076:0.000000:0.000000
2:@0.279533:0.502390:0.284776:0.502390:0.284776:0.492835:0.279533:0.492835:0.000000
 + 20  =:@0.284777:0.508437:0.351344:0.508437:0.351344:0.492049:0.284777:0.492049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.321816:0.508437:0.331085:0.508437:0.331085:0.492076:0.321816:0.492076:0.000000
3:@0.331083:0.502390:0.336326:0.502390:0.336326:0.492835:0.331083:0.492835:0.000000
j):@0.152143:0.591115:0.162665:0.591115:0.162665:0.574214:0.152143:0.574214:0.000000:0.000000
(2  + 3)  – 4(2  + 3) =:@0.183967:0.591115:0.339036:0.591115:0.339036:0.574726:0.183967:0.574726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.197843:0.591115:0.205306:0.591115:0.205306:0.574754:0.197843:0.574754:0.000000
2:@0.238228:0.585068:0.243471:0.585068:0.243471:0.575513:0.238228:0.575513:0.000000
x:@0.283624:0.591115:0.291087:0.591115:0.291087:0.574754:0.283624:0.574754:0.000000
d):@0.152143:0.425761:0.168396:0.425761:0.168396:0.408860:0.152143:0.408860:0.000000:0.000000
15:@0.183967:0.425761:0.201953:0.425761:0.201953:0.409372:0.183967:0.409372:0.000000:0.000000
m n:@0.201953:0.425761:0.231328:0.425761:0.231328:0.409400:0.201953:0.409400:0.000000:0.000000:0.000000
2 2:@0.216576:0.419714:0.236571:0.419714:0.236571:0.410159:0.216576:0.410159:0.000000:0.000000:0.000000
 – 5:@0.236570:0.425761:0.262848:0.425761:0.262848:0.409372:0.236570:0.409372:0.000000:0.000000:0.000000:0.000000
mn:@0.262848:0.425761:0.286988:0.425761:0.286988:0.409400:0.262848:0.409400:0.000000:0.000000
 =:@0.286988:0.425761:0.302006:0.425761:0.302006:0.409372:0.286988:0.409372:0.000000:0.000000
h):@0.152143:0.535997:0.168230:0.535997:0.168230:0.519097:0.152143:0.519097:0.000000:0.000000
35:@0.183967:0.535997:0.201953:0.535997:0.201953:0.519609:0.183967:0.519609:0.000000:0.000000
a b:@0.201953:0.535997:0.225726:0.535997:0.225726:0.519636:0.201953:0.519636:0.000000:0.000000:0.000000
2:@0.211213:0.529950:0.216456:0.529950:0.216456:0.520395:0.211213:0.520395:0.000000
 – 28:@0.225726:0.535997:0.260996:0.535997:0.260996:0.519609:0.225726:0.519609:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.260996:0.535997:0.279535:0.535997:0.279535:0.519636:0.260996:0.519636:0.000000:0.000000
2:@0.279533:0.529950:0.284776:0.529950:0.284776:0.520395:0.279533:0.520395:0.000000
 – 49 =:@0.284777:0.535997:0.335066:0.535997:0.335066:0.519609:0.284777:0.519609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k):@0.152143:0.618675:0.167069:0.618675:0.167069:0.601774:0.152143:0.601774:0.000000:0.000000
(  + 2 )  – 5 (  + 2 ) – (  + 2 ) :@0.183967:0.618675:0.413520:0.618675:0.413520:0.602286:0.183967:0.602286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.188851:0.618675:0.198120:0.618675:0.198120:0.602314:0.188851:0.602314:0.000000
b:@0.226167:0.618675:0.235436:0.618675:0.235436:0.602314:0.226167:0.602314:0.000000
2:@0.240311:0.612628:0.245553:0.612628:0.245553:0.603073:0.240311:0.603073:0.000000
c a:@0.271830:0.618675:0.293649:0.618675:0.293649:0.602314:0.271830:0.602314:0.000000:0.000000:0.000000
b:@0.321695:0.618675:0.330965:0.618675:0.330965:0.602314:0.321695:0.602314:0.000000
a:@0.358016:0.618675:0.367285:0.618675:0.367285:0.602314:0.358016:0.602314:0.000000
b:@0.395332:0.618675:0.404601:0.618675:0.404601:0.602314:0.395332:0.602314:0.000000
h):@0.547486:0.283496:0.563573:0.283496:0.563573:0.266596:0.547486:0.266596:0.000000:0.000000
(  + 1)  – 6(  + 1)    factor común::@0.579310:0.283496:0.819975:0.283496:0.819975:0.267107:0.579310:0.267107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.584194:0.283496:0.591657:0.283496:0.591657:0.267135:0.584194:0.267135:0.000000
2:@0.624579:0.277449:0.629821:0.277449:0.629821:0.267894:0.624579:0.267894:0.000000
x:@0.660983:0.283496:0.668447:0.283496:0.668447:0.267135:0.660983:0.267135:0.000000
Actividad resuelta:@0.120102:0.745407:0.277224:0.745407:0.277224:0.726970:0.120102:0.726970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.120102:0.765254:0.138843:0.765254:0.138843:0.748118:0.120102:0.748118:0.000000:0.000000:0.000000
Factorizamos::@0.153346:0.765254:0.258752:0.765254:0.258752:0.748630:0.153346:0.748630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   + :@0.258752:0.765254:0.296349:0.765254:0.296349:0.748865:0.258752:0.748865:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.262787:0.765254:0.272056:0.765254:0.272056:0.748892:0.262787:0.748892:0.000000
2:@0.272053:0.759206:0.277296:0.759206:0.277296:0.749652:0.272053:0.749652:0.000000
ab ax bx:@0.296349:0.765254:0.382756:0.765254:0.382756:0.748892:0.296349:0.748892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 –   – :@0.314887:0.765254:0.366190:0.765254:0.366190:0.748865:0.314887:0.748865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, (2021). 1582532341:@0.880596:0.576242:0.880596:0.460350:0.866700:0.460350:0.866700:0.576242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.651997:0.609055:0.666758:0.609055:0.666758:0.596167:0.651997:0.596167:0.000000
La factorización se realiza paso :@0.666758:0.609497:0.853201:0.609497:0.853201:0.596088:0.666758:0.596088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a paso.:@0.651997:0.623076:0.693309:0.623076:0.693309:0.609667:0.651997:0.609667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.450252:0.197882:0.459521:0.197882:0.459521:0.181520:0.450252:0.181520:0.000000
1:@0.854499:0.197882:0.863491:0.197882:0.863491:0.181493:0.854499:0.181493:0.000000
ab:@0.445608:0.226386:0.464146:0.226386:0.464146:0.210025:0.445608:0.210025:0.000000:0.000000
4:@0.850758:0.226386:0.859751:0.226386:0.859751:0.209997:0.850758:0.209997:0.000000
x:@0.859751:0.226386:0.867214:0.226386:0.867214:0.210025:0.859751:0.210025:0.000000
3:@0.450381:0.254254:0.459373:0.254254:0.459373:0.237865:0.450381:0.237865:0.000000
2:@0.844308:0.254254:0.853301:0.254254:0.853301:0.237865:0.844308:0.237865:0.000000
xy:@0.853301:0.254254:0.868448:0.254254:0.868448:0.237893:0.853301:0.237893:0.000000:0.000000
2:@0.868450:0.248207:0.873693:0.248207:0.873693:0.238652:0.868450:0.238652:0.000000
2:@0.438321:0.282200:0.447313:0.282200:0.447313:0.265811:0.438321:0.265811:0.000000
mn:@0.447313:0.282200:0.471453:0.282200:0.471453:0.265839:0.447313:0.265839:0.000000:0.000000
2(3  – 5):@0.434267:0.343039:0.495760:0.343039:0.495760:0.326651:0.434267:0.326651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.457135:0.343039:0.464598:0.343039:0.464598:0.326678:0.457135:0.326678:0.000000
ab a:@0.434267:0.370493:0.466957:0.370493:0.466957:0.354131:0.434267:0.354131:0.000000:0.000000:0.000000:0.000000
(  + 3 ):@0.452805:0.370493:0.509156:0.370493:0.509156:0.354104:0.452805:0.354104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.495004:0.370493:0.504273:0.370493:0.504273:0.354131:0.495004:0.354131:0.000000
4 (3  –  ):@0.434267:0.397946:0.506975:0.397940:0.506975:0.381551:0.434267:0.381557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.443259:0.397946:0.450741:0.397946:0.450741:0.381585:0.443259:0.381585:0.000000
2:@0.450744:0.391892:0.455987:0.391892:0.455987:0.382337:0.450744:0.382337:0.000000
x y:@0.469862:0.397940:0.502092:0.397940:0.502092:0.381578:0.469862:0.381578:0.000000:0.000000:0.000000
5:@0.434278:0.425393:0.443271:0.425393:0.443271:0.409004:0.434278:0.409004:0.000000
mn mn:@0.443271:0.425393:0.505427:0.425393:0.505427:0.409031:0.443271:0.409031:0.000000:0.000000:0.000000:0.000000:0.000000
(3:@0.467411:0.425393:0.481287:0.425393:0.481287:0.409004:0.467411:0.409004:0.000000:0.000000
 – 1):@0.505427:0.425393:0.536588:0.425393:0.536588:0.409004:0.505427:0.409004:0.000000:0.000000:0.000000:0.000000:0.000000
6 (6:@0.434278:0.452846:0.471852:0.452846:0.471852:0.436457:0.434278:0.436457:0.000000:0.000000:0.000000:0.000000
xz x y:@0.443271:0.452846:0.492030:0.452835:0.492030:0.436473:0.443271:0.436485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 2:@0.479305:0.446787:0.497273:0.446787:0.497273:0.437232:0.479305:0.437232:0.000000:0.000000:0.000000
 – 4 ):@0.497272:0.452835:0.535675:0.452835:0.535675:0.436446:0.497272:0.436446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.523550:0.452835:0.530792:0.452835:0.530792:0.436473:0.523550:0.436473:0.000000
7 (3  – 2):@0.434268:0.480288:0.511535:0.480288:0.511535:0.463899:0.434268:0.463899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g fg:@0.443261:0.480288:0.480374:0.480288:0.480374:0.463926:0.443261:0.463926:0.000000:0.000000:0.000000:0.000000
4 (4  – 3:@0.434268:0.507741:0.507196:0.507730:0.507196:0.491341:0.434268:0.491352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q p:@0.443261:0.507741:0.475675:0.507741:0.475675:0.491380:0.443261:0.491380:0.000000:0.000000:0.000000
2:@0.475675:0.501682:0.480918:0.501682:0.480918:0.492127:0.475675:0.492127:0.000000
pq:@0.507196:0.507730:0.525735:0.507730:0.525735:0.491368:0.507196:0.491368:0.000000:0.000000
 + 5 ):@0.525735:0.507730:0.573174:0.507730:0.573174:0.491341:0.525735:0.491341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.553781:0.507730:0.563051:0.507730:0.563051:0.491368:0.553781:0.491368:0.000000
2:@0.563049:0.501682:0.568292:0.501682:0.568292:0.492127:0.563049:0.492127:0.000000
7(5:@0.434267:0.535183:0.457135:0.535183:0.457135:0.518794:0.434267:0.518794:0.000000:0.000000:0.000000
a b:@0.457135:0.535183:0.480919:0.535178:0.480919:0.518816:0.457135:0.518821:0.000000:0.000000:0.000000
2:@0.466406:0.529130:0.471649:0.529130:0.471649:0.519576:0.466406:0.519576:0.000000
 – 4:@0.480919:0.535178:0.507196:0.535178:0.507196:0.518789:0.480919:0.518789:0.000000:0.000000:0.000000:0.000000
ab:@0.507196:0.535178:0.525735:0.535178:0.525735:0.518816:0.507196:0.518816:0.000000:0.000000
2:@0.525733:0.529130:0.530976:0.529130:0.530976:0.519576:0.525733:0.519576:0.000000
 – 7):@0.530976:0.535178:0.562138:0.535178:0.562138:0.518789:0.530976:0.518789:0.000000:0.000000:0.000000:0.000000:0.000000
(  – 2)(  – 3):@0.434268:0.562631:0.535620:0.562631:0.535620:0.546242:0.434268:0.546242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.439152:0.562631:0.453783:0.562631:0.453783:0.546270:0.439152:0.546270:0.000000
m:@0.489828:0.562631:0.504459:0.562631:0.504459:0.546270:0.489828:0.546270:0.000000
(2  + 3)(2  – 1):@0.434268:0.590084:0.541038:0.590084:0.541038:0.573695:0.434268:0.573695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.448144:0.590084:0.455607:0.590084:0.455607:0.573723:0.448144:0.573723:0.000000
x:@0.502414:0.590084:0.509877:0.590084:0.509877:0.573723:0.502414:0.573723:0.000000
(  + 2 )(  + 2  – 5  – 1):@0.434268:0.617537:0.607193:0.617537:0.607193:0.601148:0.434268:0.601148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.439152:0.617537:0.448421:0.617537:0.448421:0.601176:0.439152:0.601176:0.000000
b a:@0.476467:0.617537:0.504772:0.617537:0.504772:0.601176:0.476467:0.601176:0.000000:0.000000:0.000000
b:@0.532819:0.617537:0.542088:0.617537:0.542088:0.601176:0.532819:0.601176:0.000000
c:@0.568366:0.617537:0.576032:0.617537:0.576032:0.601176:0.568366:0.601176:0.000000
x:@0.841243:0.282221:0.848706:0.282221:0.848706:0.265860:0.841243:0.265860:0.000000
 + 1:@0.848706:0.282221:0.876753:0.282221:0.876753:0.265832:0.848706:0.265832:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000