Question

сократите дробь ( x^3-y^3-x^2y+xy^2)/((x+y)^2-2xy)

Answer 1

$\frac{ {x}^{3} - {y}^{3} - {x}^{2} y + x {y}^{2} }{ {(x + y)}^{2} - 2xy} = \frac{ {x}^{2} (x - y) + {y}^{2} (x - y)}{ {x}^{2} + 2xy + {y}^{2} - 2xy} = \frac{(x - y)( {x}^{2} + {y}^{2} )}{ {x}^{2} + {y}^{2} } = x - y$