分解因式 (x²-XY)²-(XY-Y²)²

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分解因式 (x²-XY)²-(XY-Y²)²
分解因式 (x²-XY)²-(XY-Y²)²

分解因式 (x²-XY)²-(XY-Y²)²
(x²-XY)²-(XY-Y²)²
=(x²-xy+xy-y²)(x²-xy-xy+y²)
=(x²-y²)(x²-2xy+y²)
=(x+y)(x-y)(x-y)²
=(x+y)(x-y)³
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((x²-XY)-(XY-Y²)) * ((x²-XY)+(XY-Y²))
=(x-Y)² * (x-Y) (x+Y)
=(x-Y)3 *(x+Y)