How do you simplify (y²-25) / (3y-7)? Algebra Rational Equations and Functions Division of Polynomials 1 Answer Meave60 Nov 7, 2015 (y^2-25)/(3y-7)=((y+5)(y-5))/(3y-7) Explanation: (y^2-25)/(3y-7) Rewrite 25 as 5^2. (y^2-5^2)/(3y-7) (y^2-5^2) is an example of the difference of squares, a^2-b^2=(a+b)(a-b), where a=y and b=5. ((y+5)(y-5))/(3y-7) 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 1626 views around the world You can reuse this answer Creative Commons License