Question

A. (x + 1)²

B. (x + 1)³

C. (x² + 1)²

D. (x² + 1)³​

Answer 1

Respuesta:

$=\left(x^2+1\right)^3$

Explicación paso a paso:

Perímetro:

$\mathrm{Factorizar}\:3x^2+x^6+3x^4+1\\\\\mathrm{Sea\:}u\mathrm{=}x^2\\\\\mathrm{Factorizar}\:u^3+3u^2+3u+1\\\\\mathrm{Aplicar\:la\:regla\:de\:productos\:notables:\:}a^3+3a^2b+3ab^2+b^3=\left(a+b\right)^3\\\\a=u,\:\:b=1\\\\u^3+3u^2+3u+1=\left(u+1\right)^3\\\\=\left(u+1\right)\left(u+1\right)\left(u+1\right)\\\\\mathrm{Sustituir\:en\:la\:ecuacion}\:u=x^2\\\\=\left(x^2+1\right)\left(x^2+1\right)\left(x^2+1\right)\\\\=\left(x^2+1\right)^3$