Answer: [tex]=x^2+5x+7+\frac{3x-3}{4x^2-1}[/tex]
Step-by-step explanation:
[tex]\frac{4x^4+20x^3+27x^2-2x-10}{4x^2-1}[/tex]
[tex]=x^2+\frac{20x^3+28x^2-2x-10}{4x^2-1}[/tex]
[tex]=x^2+5x+\frac{28x^2+3x-10}{4x^2-1}[/tex]
[tex]=x^2+5x+7+\frac{3x-3}{4x^2-1}[/tex]
