x{x+1}{x-2}{x-3}-40

分类: 作业答案 • 2022-06-15 09:53:17

问题描述：

x{x+1}{x-2}{x-3}-40

答

x(x+1)(x-2)(x-3)-40
=x(x-2)(x-3)(x+1)-40
=(x^2-2x)(x^2-2x-3)-40
=(x^2-2x)^2-3(x^2-2x)-40
=(x^2-2x-8)(x^2-2x+5)
=(x-4)(x+2)(x^2-2x+5)