分解因式x3-x2-x+1

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分解因式x3-x2-x+1
分解因式x3-x2-x+1

分解因式x3-x2-x+1
x3-x2-x+1
=x3-x-(x2-1)
=x(x2-1)-(x2-1)
=(x2-1)(x-1)
=(x-1)^2(x+1)

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

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

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

=(x3-x)-(x2-1)=x(x2-1)-(x2-1)=(x2-1)*(x-1)=(x+1)*(x-1)2