Question

Simplifique: x^2 / xy−y^2 . x^2−y^2 / x^2+xy

Answer 1

Resposta:

• x/y

Explicação passo-a-passo:

$\frac{x^2}{xy-y^2}\cdot \frac{x^2-y^2}{x^2+xy}\\\frac{x-y}{x}\cdot \frac{x^2}{-y^2+xy}\\\frac{x^2\left(x-y\right)}{\left(xy-y^2\right)x}\\\frac{x\left(x-y\right)}{xy-y^2}\\\frac{x\left(x-y\right)}{y\left(x-y\right)}\\\frac{x}{y}$