Question

simplifique a fracão ( x+y )²+( y-x )²/4x³+4xy²"

Answer 1

Passo a passo

$\frac{(x+y)^2+(y-x)^2}{4x^3+4xy^2} \\ \\ \\ \frac{x^2+2xy+y^2+y^2-2xy+x^2}{4x^3+4xy^2} \\ \\ \\ \frac{2x^2+2y^2}{4x^3+4xy^2} \\ \\ \\ \frac{2(x^2+y^2)}{4x(x^2+y^2)} \\ \\ \\ \frac{2}{4x} \\ \\\boxed{ \frac{1}{2x} }$