Question

молю алгебра помогите !!!!!

Answer 1

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