因式分解:x2-y2+x3-y3

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因式分解:x2-y2+x3-y3因式分解:x2-y2+x3-y3因式分解:x2-y2+x3-y3解x²-y²+x³-y³=(x-y)(x+y)+(x-y)(x&

因式分解:x2-y2+x3-y3
因式分解:x2-y2+x3-y3

因式分解:x2-y2+x3-y3

x²-y²+x³-y³
=(x-y)(x+y)+(x-y)(x²+xy+y²)
=(x-y)(x+y+x²+xy+y²)
x³-y³
=(x-y)(x²+xy+y)立方差公式

(X+Y)(X-Y)+(X+Y)(X平方-XY+Y平方)

x²-y²+x³-y³
=(x+y)(x-y)+(x-y)(x²+xy+y²)
=(x-y)(x+y+x²+xy+y²)

给好评啊!!!
原式=(x+y)(x-y)+(x-y)(x平方+xy+y平方)=(x-y)(x平方+xy+x+y+y平方)