Question

Разложите на множители
1) (a-b)^3-a^2+2ab-b^2
2) x^2+y^2+2xy-(x+y)^3

Answer 1

{a-b)^3-a^2+2ab-b^2=(a-b)^3-(a^2-2ab+b^2)= (a-b)^3-(a-b)^2=(a-b)^2(a-b-1)