(x-y)2(x2+xy+y2)2-(x3+y3)(-x3+y3),其中x=1,y=-1

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(x-y)2(x2+xy+y2)2-(x3+y3)(-x3+y3),其中x=1,y=-1
(x-y)2(x2+xy+y2)2-(x3+y3)(-x3+y3),其中x=1,y=-1

(x-y)2(x2+xy+y2)2-(x3+y3)(-x3+y3),其中x=1,y=-1
(x-y)²(x²+xy+y²)²-(x³+y³)(-x³+y³)
=(x³-y³)² - [-(x³)²+(y³)²]
=(x³)²+(y³)² -2x³y³ +(x³)²-(y³)²
=2(x³)²-2x³y³
=2x³(x³-y³)
把x=1,y=-1代入
2x³(x³-y³)
=2×(1+1)
=2×2
=4