Question

Разложите на множители
а)2(x-y)+(x-y)^2
б)(a+b)^2-(a+b)(a-b)
в)x(x-y)^2-y(y-x)^2

Answer 1

$1)2(x-y)+(x-y)^2 = (x-y)(2+x-y) \ 2)(a+b)^2-(a+b)(a-b) = (a+b)(a+b-a+b)=2b(a+b) \ 3)x(x-y)^2-y(y-x)^2=x(x-y)^2+y(x-y)^2=(x-y)^2(x+y)$