Respuesta:
216w³-216w²h+72wh²-8h³ = (6w-2h)³
Explicación paso a paso:
Binomio al cubo:
(a ± b)³ = a³ ± 3a²b + 3ab² ± b³
Factoriza los cubos perfectos de binomios 216w³-216w²h+72wh²-8h³:
Resolvamos:
216w³-216w²h+72wh²-8h³
(6w)³ - 3(6w)²(2h) + 3(6w)(2h)² - (2h)³
(6w-2h)³
Por lo tanto:
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Respuesta:
216w³-216w²h+72wh²-8h³ = (6w-2h)³
Explicación paso a paso:
Binomio al cubo:
(a ± b)³ = a³ ± 3a²b + 3ab² ± b³
Factoriza los cubos perfectos de binomios 216w³-216w²h+72wh²-8h³:
Resolvamos:
216w³-216w²h+72wh²-8h³
(6w)³ - 3(6w)²(2h) + 3(6w)(2h)² - (2h)³
(6w-2h)³
Por lo tanto:
216w³-216w²h+72wh²-8h³ = (6w-2h)³