化简:根号3X^3-6X^2+3 其中X

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化简:根号3X^3-6X^2+3 其中X
化简:根号3X^3-6X^2+3 其中X

化简:根号3X^3-6X^2+3 其中X
(3X^3-6X^2+3)
=3(x^3-2x^2+1)
=3[(x^3-2x^2+x)-(x-1)]
=3[x(x-1)^2-(x-1)]
=3(x-1)(x^2-x-1)
=3(1-x)(1+x-x^2)
1+x-x^2>0
x^2-x-1

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

√(3X^3-6X^2+3)
= √{3(x-1)^2}
=√3 (1-x)