将下列各式分解因式4x^n+3-12x^n+2+9x^n+1

问题描述:

将下列各式分解因式4x^n+3-12x^n+2+9x^n+1

4x^(n+3)-12x^(n+2)+9x^(n+1)
=x^(n+1)*(4x^2-12x+9)
=x^(n+1)*(2x-3)^2.