(x^2-2x-2)^2-x(x^2-2x-2)-2x^2

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(x^2-2x-2)^2-x(x^2-2x-2)-2x^2
(x^2-2x-2)^2-x(x^2-2x-2)-2x^2

(x^2-2x-2)^2-x(x^2-2x-2)-2x^2
(x²-2x-2)²-x(x²-2x-2)-2x²
=[(x²-2x-2)+x][(x²-2x-2)-2x]
=(x²-x-2)(x²-4x-2)
=(x-2)(x+1)(x²-4x-2) 一般的分解到此结束,在实数范围内分解,继续：
=(x-2)(x+1)[(x-2)²-6]
=(x-2)(x+1)(x-2+√6)(x-2-√6)

(x²-2x-2)²-x(x²-2x-2)-2x²
=[(x²-2x-2)+x][(x²-2x-2)-2x]
=(x²-x-2)(x²-4x-2)=(x-2)(x+1)(x²-4x-2)=(x-2)(x+1)[(x-1)²-5]
=(x-2)(x+1)(x-1+√5)(x-1-√5)

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