(1)2x(x+y)-4(x+y)^2.(2)(x+y)(b-a)+(x-y)(a-b)的分解因式解答过程
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(1)2x(x+y)-4(x+y)^2.(2)(x+y)(b-a)+(x-y)(a-b)的分解因式解答过程
![(1)2x(x+y)-4(x+y)^2.(2)(x+y)(b-a)+(x-y)(a-b)的分解因式解答过程](/uploads/image/z/18510996-12-6.jpg?t=%EF%BC%881%EF%BC%892x%28x%2By%29-4%28x%2By%29%5E2.%EF%BC%882%EF%BC%89%28x%2By%29%28b-a%29%2B%28x-y%29%28a-b%29%E7%9A%84%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%E8%A7%A3%E7%AD%94%E8%BF%87%E7%A8%8B)
(1)2x(x+y)-4(x+y)^2
=(x+y)(2x-4x-4y)
=(x+y)(-2x-4y)
=-2(x+y)(x+2y)
(2)(x+y)(b-a)+(x-y)(a-b)
=(-x-y)(a-b)+(x-y)(a-b)
=(a-b)(-x-y+x-y)
=-2y(a-b)
=(x+y)(2x-4x-4y)
=(x+y)(-2x-4y)
=-2(x+y)(x+2y)
(2)(x+y)(b-a)+(x-y)(a-b)
=(-x-y)(a-b)+(x-y)(a-b)
=(a-b)(-x-y+x-y)
=-2y(a-b)
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