Question

упростите выражения 6x^2y^2/x+y*(1/y^2-1/x^2)

Answer 1

$frac{6x^2y^2}{x+y} * ({frac{1}{y^2}-frac{1}{x^2}})=\ frac{6x^2y^2}{x+y} * {frac{x^2-y^2}{y^2x^2}}= frac{6x^2y^2(x^2-y^2)}{y^2x^2(x+y)}=\ frac{6(x^2-y^2)}{x+y}=\ frac{6(x-y)(x+y)}{x+y}=\ 6(x-y)=6x-6y$