x²[x-y]+y²[y-x] 因式分解,

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x²[x-y]+y²[y-x] 因式分解,
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x²[x-y]+y²[y-x] 因式分解,
x²[x-y]+y²[y-x] 因式分解,

x²[x-y]+y²[y-x] 因式分解,
【解】 x²[x-y]+y²[y-x]
= x²[x-y] - y²[x-y]
= (x²-y²)(x-y)
= (x+y)(x-y)²