因式分解:(x+y)的2次方(x减y)+(x减y)(y减x)的两次方
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因式分解:(x+y)的2次方(x减y)+(x减y)(y减x)的两次方
输错了,后面是(x+y)(y-x)^2
输错了,后面是(x+y)(y-x)^2
![因式分解:(x+y)的2次方(x减y)+(x减y)(y减x)的两次方](/uploads/image/z/17207541-45-1.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%28x%2By%29%E7%9A%842%E6%AC%A1%E6%96%B9%28x%E5%87%8Fy%29%2B%28x%E5%87%8Fy%29%28y%E5%87%8Fx%29%E7%9A%84%E4%B8%A4%E6%AC%A1%E6%96%B9)
(x+y)²(x-y)+(x+y)(y-x)²
=(x+y)(x+y)(x-y)+(x+y)(x-y)(x-y)
=(x+y)[(x+y)(x-y)+(x-y)(x-y)]
=(x+y)[(x-y)(x+y+x-y)]
=(x+y)(x-y)2x
=(x+y)(x+y)(x-y)+(x+y)(x-y)(x-y)
=(x+y)[(x+y)(x-y)+(x-y)(x-y)]
=(x+y)[(x-y)(x+y+x-y)]
=(x+y)(x-y)2x
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