因式分解 ①2x(x+y)²-x(x+y)³因式分解 ①2x(x+y)²-x(x+y)³ ②m(m-n)²-n(n-m)² ③2(x-y)²-x(x-y) ④m(a-b)-n(b-a)

因式分解 ①2x(x+y)²-x(x+y)³因式分解 ①2x(x+y)²-x(x+y)³ ②m(m-n)²-n(n-m)² ③2(x-y)²-x(x-y) ④m(a-b)-n(b-a)
因式分解 ①2x(x+y)²-x(x+y)³
因式分解 ①2x(x+y)²-x(x+y)³
②m(m-n)²-n(n-m)²
③2(x-y)²-x(x-y)
④m(a-b)-n(b-a)

因式分解 ①2x(x+y)²-x(x+y)³因式分解 ①2x(x+y)²-x(x+y)³ ②m(m-n)²-n(n-m)² ③2(x-y)²-x(x-y) ④m(a-b)-n(b-a)
①2x(x+y)²-x(x+y)³
=x(x+y)²[2-(x+y)]
=x(x+y)²(2-x-y)
②m(m-n)²-n(n-m)²
=m(m-n)²-n(m-n)²
=(m-n)²(m-n)
=(m-n)³
③2(x-y)²-x(x-y)
=(x-y)[2(x-y)-x]
=(x-y)(2x-2y-x)
=(x-y)(x-2y)
④m(a-b)-n(b-a)
=m(a-b)+n(a-b)
=(a-b)(m+n)

收起

太难了，初几的

①2x(x+y)²-x(x+y)³ =X(x+y)²（2-x-y） ②m(m-n)²-n(n-m)²=(m-n)3
③2(x-y)²-x(x-y)=(x-y) ( 2x-2y-x )= (x-y) ( x-2y-x )
④m(a-b)-n(b-a)=m(a-b)(m+n)

这都是啥？