因式分解:a(x-y)^2+b(y-x)^3 4(x-y)^2+8(y-x)(x+y)
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因式分解:a(x-y)^2+b(y-x)^3 4(x-y)^2+8(y-x)(x+y)
1.a(x-y)^2+b(y-x)^3
2.4(x-y)^2+8(y-x)(x+y)
1.a(x-y)^2+b(y-x)^3
2.4(x-y)^2+8(y-x)(x+y)
![因式分解:a(x-y)^2+b(y-x)^3 4(x-y)^2+8(y-x)(x+y)](/uploads/image/z/19729343-47-3.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9Aa%28x-y%29%5E2%2Bb%28y-x%29%5E3+4%28x-y%29%5E2%2B8%28y-x%29%28x%2By%29)
a(x-y)^2+b(y-x)^3
=a(x-y)^2-b(x-y)^3
=(x-y)^2[a-b(x-y)]
=(x-y)^2(a-bx+by)
4(x-y)^2+8(y-x)(x+y)
=4(x-y)^2-8(x-y)(x+y)
=4(x-y)[(x-y)-2(x+y)]
=4(x-y)(x-y-2x-2y)
=4(x-y)(-x-3y)
=-4(x-y)(x+3y)
=a(x-y)^2-b(x-y)^3
=(x-y)^2[a-b(x-y)]
=(x-y)^2(a-bx+by)
4(x-y)^2+8(y-x)(x+y)
=4(x-y)^2-8(x-y)(x+y)
=4(x-y)[(x-y)-2(x+y)]
=4(x-y)(x-y-2x-2y)
=4(x-y)(-x-3y)
=-4(x-y)(x+3y)
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