因式分解:(x²-3)²-x(x²-3)-2x²

问题描述:

因式分解:(x²-3)²-x(x²-3)-2x²

(x²-3)²-x(x²-3)-2x²
=[(x^2-3)-2x][(x^2-3)+x]
=(x^2-2x-3)(x^2+x-3)
=(x-3)(x+1)(x^2+x-3)