How do you simplify (8x^3-12x^2+6x-9)/(16x^4-9)? Algebra Rational Equations and Functions Division of Polynomials 1 Answer Binayaka C. 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] Answer link Related questions What is an example of long division of polynomials? How do you do long division of polynomials with remainders? How do you divide 9x^2-16 by 3x+4? How do you divide \frac{x^2+2x-5}{x}? How do you divide \frac{x^2+3x+6}{x+1}? How do you divide \frac{x^4-2x}{8x+24}? How do you divide: (4x^2-10x-24) divide by (2x+3)? How do you divide: 5a^2+6a-9 into 25a^4? How do you simplify (3m^22 + 27 mn - 12)/(3m)? How do you simplify (25-a^2) / (a^2 +a -30)? See all questions in Division of Polynomials Impact of this question 1767 views around the world You can reuse this answer Creative Commons License