Question

How do you simplify `(8x^3-12x^2+6x-9)/(16x^4-9)`?

Answer 1

`(2x-3)/ (4x^2-3)`

Explanation:

`(8x^3 -12x^2 +6x -9) /(16 x^4 -9)`

`= (8x^3 +6x -12x^2 -9) /((4x^2)^2 -3^2)`

`= (2x(4x^2+3) - 3(4x^2+3))/((4x^2+3)(4x^2-3)`

`=(cancel((4x^2+3)) (2x- 3))/(cancel((4x^2+3))(4x^2-3)`

`(2x-3)/ (4x^2-3)` [Ans]