因式分解x的四次方减去4x平方减去X加上2
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因式分解x的四次方减去4x平方减去X加上2
x^4-4x^2-x+2
=x^2(x^2-4)-(x-2)
=x^2(x+2)(x-2)-(x-2)
=(x-2)(x^3+2x^2-1)
=(x-2)(x+1)(x^2+x-1)
=x^2(x^2-4)-(x-2)
=x^2(x+2)(x-2)-(x-2)
=(x-2)(x^3+2x^2-1)
=(x-2)(x+1)(x^2+x-1)