因式分解：x2-y2+x3-y3

分类: 作业答案 • 2022-07-09 17:44:01

问题描述：

因式分解：x2-y2+x3-y3

答

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)

答

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

答

解
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

答

（X+Y）(X-Y)+(X+Y)(X平方-XY+Y平方）