Question

How do you simplify `(8x^2+9)/(4x^2-11)`?

Answer 1

`(8x^2+9)/(4x^2-11)=2+31/(4x^2-11)`

Explanation:

`(8x^2+9)/(4x^2-11)`

`=(8x^2-22+22+9)/(4x^2-11)`

`=(8x^2-22)/(4x^2-11)+(22+9)/(4x^2-11)`

`=(2(4x^2-11))/(4x^2-11)+(31)/(4x^2-11)`

`=2+31/(4x^2-11)`