Question

Resolver:
(x²+8x+11)² - (x+1)(x+3)(x+5)(x+7)​

Answer 1

Respuesta:

No lo sé :,v

Explicación paso a paso:

pregúntale a un fisicomatematico

Answer 2

Respuesta:   $16$

Explicación paso a paso:

$\left(x^2+8x+11\right)^2-\left(x+1\right)\left(x+3\right)\left(x+5\right)\left(x+7\right)$

$\left(x^2+8x+11\right)^2=\left(x^2+8x+11\right)\left(x^2+8x+11\right)$

$=\left(x^2+8x+11\right)\left(x^2+8x+11\right)-\left(x+1\right)\left(x+3\right)\left(x+5\right)\left(x+7\right)$

$\mathrm{Expandir}\:\left(x^2+8x+11\right)\left(x^2+8x+11\right):\quad x^4+16x^3+86x^2+176x+121$

$=x^4+16x^3+86x^2+176x+121-\left(x+1\right)\left(x+3\right)\left(x+5\right)\left(x+7\right)$

$\mathrm{Expandir}\:-\left(x+1\right)\left(x+3\right)\left(x+5\right)\left(x+7\right):\quad -x^4-16x^3-86x^2-176x-105$

$=x^4+16x^3+86x^2+176x+121-x^4-16x^3-86x^2-176x-105$

$\mathrm{Simplificar}\:x^4+16x^3+86x^2+176x+121-x^4-16x^3-86x^2-176x-105:\quad 16$

$=16$