Question

Efetue a divisão das fração algebrica e
simplifique se for possivel
ax^2-ay^2
---------------
x-2xy+y^2

Answer 1

$\frac{ax^2-ay^2}{x-2xy+y^2}=$

$\frac{a(x^2-y^2)}{(x-y)^2}=$

$\frac{a(x+y)(x-y)}{(x-y)(x-y)}=$

$\frac{a(x+1)}{x-y}$