因式分解: ①a(a-b)+b(b-a) ②(a-b)³-(a-b)² ③x(x+y)(x-y)-x(x+y)²④2a(x-y)-4b(y-x)⑤(2x+y)(2x-3y)+x(2x+y)急,马上就要,请写出过程,好的加分~~
问题描述:
因式分解: ①a(a-b)+b(b-a) ②(a-b)³-(a-b)² ③x(x+y)(x-y)-x(x+y)²
④2a(x-y)-4b(y-x)
⑤(2x+y)(2x-3y)+x(2x+y)
急,马上就要,请写出过程,好的加分~~
答
①a(a-b)+b(b-a)=(a-b)(a-b)=(a-b)²②(a-b)³-(a-b)² =(a-b)²(a-b-1)③x(x+y)(x-y)-x(x+y)²=(x+y)x(x-y-x-y)=-2xy(x+y)④2a(x-y)-4b(y-x)=2(x-y)(a+2b)⑤(2x+y)(2x-3y...