Question

因式分解：x的3次方-x+y的3次方-y

Answer 1

立方和公式：x³+y³=(x+y)(x²-xy+y²)

x³-x+y³-y

=(x³+y³)-(x+y)

=(x+y)(x²-xy+y²)-(x+y)

=(x+y)(x²-xy+y²-1)