分解因式x^2(x-1)^2+32(x-x^2)+60

分类: 作业答案 • 2022-05-25 16:20:12

问题描述：

答

x^2(x-1)^2+32(x-x^2)+60
=x^2(x-1)^2 +32x(1-x)+60
=x^2(x-1)^2 - 32x(x-1) + 60
= (x(x-1)-30)*(x(x-1)-2)
=(x^2-x-30)*(x^2-x-2)
=(x-6)(x+5)(x-2)(x+1)