Question

(x³+x²-x)÷(x-1)
ayudaaa​

Answer 1

Respuesta:

$x^2+2x+1+\frac{1}{x-1}$

Explicación paso a paso:

$\frac{\left(x^3+x^2-x\right)}{\left(x-1\right)}\\\\\frac{x^3+x^2-x}{x-1}=x^2+\frac{2x^2-x}{x-1}\\\\=x^2+\frac{2x^2-x}{x-1}\\\\\frac{2x^2-x}{x-1}=2x+\frac{x}{x-1}\\\\=x^2+2x+\frac{x}{x-1}\\\\\frac{x}{x-1}=1+\frac{1}{x-1}\\\\=x^2+2x+1+\frac{1}{x-1}$