如何分解因式x3-3x+2X的立方减3X加2(拜托快点)

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如何分解因式x3-3x+2X的立方减3X加2(拜托快点)

如何分解因式x3-3x+2X的立方减3X加2(拜托快点)
如何分解因式x3-3x+2
X的立方减3X加2(拜托快点)

如何分解因式x3-3x+2X的立方减3X加2(拜托快点)
x³-3x+2
=(x³-1)-3x+3
=(x-1)(x^2+x+1)-3(x-1)
=(x-1)(x^2+x+1-3)
=(x-1)(x^2+x-2)
=(x-1)^2(x+2)

(x^2-3)*x^2-2

x(x2-3)+2

不道

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

x^3-3x+2
=x^3+2x^2-2x^2-4x+x+2
=x^2(x+2)-2x(x+2)+(x+2)
=(x^2-2x+1)(x+2)
=(x+2)(x-1)^2

=x^3-2x^2+x+2x^2-4x+2
=x(x-1)^2+2(x-1)^2
=(x+2)(x-1)^2