Answer:
[tex]\large\boxed{2x^2-14x+7}[/tex]
Step-by-step explanation:
[tex](4x^2-5x + 1)-(2x^2+9x-6)\\\\=4x^2-5x+1-2x^2-9x-(-6)\\\\=4x^2-5x+1-2x^2-9x+6\qquad\text{combine like terms}\\\\=(4x^2-2x^2)+(-5x-9x)+(1+6)\\\\=2x^2-14x+7[/tex]