Question

x^4 - y^4/ x² + 2xy + y²

Answer 1

$\frac{x^{4}- y^{4} }{x^{2} +2xy +y^{2} } = \frac{(x^{2} +y^{2} )*(x^{2} -y^{2})}{(x+y)^{2} } = \frac{(x^{2} +y^{2}) * (x +y)*(x -y)}{(x+y)^{2}} = \frac{(x^{2}+y^{2} )*(x-y)}{(x+y)}$