(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) 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)