Question

(x³ + x² - 6). (x² + x + 1)​

Answer 1

Respuesta:

$x^5+2x^4+2x^3-5x^2-6x-6$

Explicación paso a paso:

$\left(x^3+x^2-6\right)\left(x^2+x+1\right)\\\\=x^3x^2+x^3x+x^3\cdot \:1+x^2x^2+x^2x+x^2\cdot \:1+\left(-6\right)x^2+\left(-6\right)x+\left(-6\right)\cdot \:1\\\\=x^3x^2+x^3x+1\cdot \:x^3+x^2x^2+x^2x+1\cdot \:x^2-6x^2-6x-6\cdot \:1\\\\=x^5+2x^4+2x^3-5x^2-6x-6$