How do you simplify (9m²-16n²) /( 6m-8n)? Algebra Rational Equations and Functions Division of Polynomials 1 Answer Bhavin B. May 19, 2018 (9m^2-16n^2)/(6m-8n) = (3m+4n)/2 Explanation: First factorize 9m^2 - 16n^2 9m^2 - 16n^2 = (3m-4n)(3m+4n) Check: (3m-4n)(3m+4n) = 9m^2 + 12mn-12mn-16n^2 (3m-4n)(3m+4n) = 9m^2 + cancel(12mn-12mn)-16n^2 (3m-4n)(3m+4n) = 9m^2 -16n^2 (9m^2-16n^2)/(6m-8n) = ((3m-4n)(3m+4n))/(6m-8n) (9m^2-16n^2)/(6m-8n) = ((3m-4n)(3m+4n))/(2(3m-4n)) (9m^2-16n^2)/(6m-8n) = (cancel((3m-4n))(3m+4n))/(2(cancel(3m-4n)) (9m^2-16n^2)/(6m-8n) = (3m+4n)/2 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 2371 views around the world You can reuse this answer Creative Commons License