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因式分解6（x+y）^2-2(x-y)(x+y)因式分解-3（x-y）^2-(y-x)^3
题目详情
因式分解6（x+y）^2-2(x-y)(x+y) 因式分解-3（x-y）^2-(y-x)^3
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答案和解析
因式分解6(x+y)^2-2(x-y)(x+y)
6(x+y)^2-2(x-y)(x+y)
=2(x+y)[3(x+y)-(x-y)]
=2(x+y)(3x+3y-x+y)
=2(x+y)(2x+4y)
=4(x+y)(x+2y)
因式分解-3(x-y)^2-(y-x)^3
-3(x-y)^2-(y-x)^3
=(x-y)^2[-3-(y-x)]
=-(x-y)^2(3+y+x)
6(x+y)^2-2(x-y)(x+y)
=2(x+y)[3(x+y)-(x-y)]
=2(x+y)(3x+3y-x+y)
=2(x+y)(2x+4y)
=4(x+y)(x+2y)
因式分解-3(x-y)^2-(y-x)^3
-3(x-y)^2-(y-x)^3
=(x-y)^2[-3-(y-x)]
=-(x-y)^2(3+y+x)
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