4x^n+2-9x^n+6x^n-1-x^n-24x^(n+2)-9x^n+6x^(n-1)-x^(n-2),n是整数且大于2_数学解答

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

人气：331 ℃　时间：2020-03-19 06:48:57

解答

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)