x^3-x^2+x-1因式分解

如题
2024-12-21 18:23:21
推荐回答(4个)
回答1:

原式=x^2(x-1)+(x-1)=(x^2+1)(x-1)
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回答2:

-x^3+x(x-1)=-x(x^2-x+1)

回答3:

x^3-x^2+x-1

=x^2(x-1)+(x-1)

=(x^2+1)(x-1)

回答4:

x^3-X^2-X+1
=(x^3-x^2)-(x-1)
=x^2(x-1)-(x-1)
=(x^2-1)(x-1)
=(x+1)(x-1)(x-1)
=(x+1)(x-1)^2