Question

8x6-10x4-12x3/-4x2
Cual es el resultado algebraico porfavor

Answer 1

Respuesta:

$\boxed{\frac{8\text{x}^6-10\text{x}^4-12\text{x}^3}{-4\text{x}^2}}$

Factorizar

$8x^6-10x^4-12x^3=2x^3\left(4x^3-5x-6\right)$

$\frac{2x^3\left(4x^3-5x-6\right)}{-4x^2}$

$4x^3-5x-6=\left(2x-3\right)\left(2x^2+3x+2\right)$

$\frac{2x^3\left(2x-3\right)\left(2x^2+3x+2\right)}{-4x^2}$

Cancelamos 2/4 = 1/2

$\frac{x^3\left(2x-3\right)\left(2x^2+3x+2\right)}{-2x^2}=\frac{x\left(2x-3\right)\left(2x^2+3x+2\right)}{-2}$

Solución

$\frac{a}{-b}=-\frac{a}{b}$

$\boxed{-\frac{\text{x}\left(2\text{x}-3\right)\left(2\text{x}^2+3\text{x}+2\right)}{2}}$

Saludos...