x的9次方加上X的6次方加上X的3次方减去3怎么因式分解
问题描述：
x的9次方加上X的6次方加上X的3次方减去3怎么因式分解
答
x^9+x^6+x^3-3
=(X^9-1)+(X^6-1)+(X^3-1)
=(X^3-1))(X^6+X^3+1)+(X^3-1)(X^3+1)+(X^3-1)
=(X^3-1)(X^6+1+X^3+X^3+1+1)
=(X^3-1)(X^6+2X^3+3)
=(X-1)(X^2+X+1)(X^6+2X^3+3)