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

1 Answer
May 30, 2017

(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]