如何因式分解 X^3-1?X^5-1呢?

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如何因式分解 X^3-1?X^5-1呢?

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)

……你发的什么啊

可以写纸上拍照发

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)