因式分解:(x+y)³-x-y³ 为3次方

问题描述:

因式分解:(x+y)³-x-y
³ 为3次方

(x+y)^3-x-y
=(x+y)^3-(x+y)
=(x+y)*((x+y)^2-1)
=(X+Y)*(X+Y+1)*(X+Y-1)

(x+y)³-x-y=(x+y)[(x+y)²-1]
=(x+y)(x+y+1)(x+y-1)
不懂可以追问,祝你学习进步

(x+y)³-x-y
=(x+y)³-(x+y)
=(x+y)【(x+y)²-1】
=(x+y)(x+y+1)(x+y-1)