Question

Х^3-ху^2-6у^2+6х^2
разложите на множите

заранее

Answer 1

$...=x^2(x+6)-y^2(x+6)=(x+6)(x^2-y^2)=(x+6)(x+y)(x-y)$

Answer 2

ответ: $x^3-xy^2-6y^2+6x^2 = (x+6)(x+y)(x-y).$

$x^3-xy^2-6y^2+6x^2 = (x^3+6x^2)-(xy^2+6y^2) = x^2(x+6)-y^2(x+6) = \\(x+6)(x^2-y^2) = (x+6)(x+y)(x-y).$