4x^n+2-9x^n+6x^n-1-x^n-2

分类: 作业答案 • 2021-12-31 11:55:42

问题描述：

4x^n+2-9x^n+6x^n-1-x^n-2
4x^(n+2)-9x^n+6x^(n-1)-x^(n-2),n是整数且大于2

答

4x^(n+2)-9x^n+6x^(n-1)-x^(n-2)
=x^(n-2)*(4x^4-9x^2+6x-1)
=x^(n-2)*[(2x^2)^2-(3x-1)^2]
=x^(n-2)*(2x^2+3x-1)(2x^2-3x+1)
=x^(n-2)*(2x^2+3x-1)(x-1)(2x-1)