(a-b)^2-(b-a)^3 分解因式 4a(a-b)-2(b-a)^2 2(a-b)-a(b-a) (x+y)(x+3)-x(y+x)

问题描述:

(a-b)^2-(b-a)^3 分解因式 4a(a-b)-2(b-a)^2 2(a-b)-a(b-a) (x+y)(x+3)-x(y+x)

(a-b)^2-(b-a)^3 =(a-b)^2+(a-b)^3 =(a-b)^2[1+(a-b)] =(a-b+1)(a-b)^24a(a-b)-2(b-a)^2 =4a(a-b)-2(a-b)^2 =2(a-b)[2a-(a-b)]=2(a-b)(2a-a+b)=2(a-b)(a+b)2(a-b)-a(b-a) =2(a-b)+a(a-b) =(a-b)(a+2) (x+y)(x+3)-x(y...