如何因式分解 X^3-1?X^5-1呢?
问题描述：
如何因式分解 X^3-1?X^5-1呢?
答
X^3-1
=X(X^2-1)+(X-1)
=X(X+1)(X-1)+(X-1)
=(X-1)(X^2+X+1)
x^5-1
= X(X^4-1)+（X-1）
=X(X^2-1)(X^2+1）+（X-1)
=X(X+1)(X-1)(X^2+1)+（X-1)
=(X-1)(X(X+1)(X^2+1)+1)
=(x-1)(x^4+x^3+x^2+x+1)
答
可以写纸上拍照发
答
X^3-1=X(X^2-1)+(X-1)=X(X+1)(X-1)+(X-1)=(X-1)(X^2+X+1)x^5-1= X(X^4-1)+（X-1）=X(X^2-1)(X^2+1）+（X-1)=X(X+1)(X-1)(X^2+1)+（X-1)=(X-1)(X(X+1)(X^2+1)+1)=(x-1)(x^4+x^3+x^2+x+1)
答
……你发的什么啊