Question

упростите пожалуйста -- (х + y)/y : (x^2 + 2 * x y + y^2)/(xy^2)

Answer 1

$\displaystyle\bf\\\frac{x+y}{y} :\frac{x^{2} +2xy+y^{2} }{xy^{2} } =\frac{x+y}{y} :\frac{(x+y)^{2} }{xy^{2} } =\\\\\\=\frac{x+y}{y} \cdot\frac{xy^{2} }{(x+y)^{2} } =\frac{xy}{x+y}$