How do you simplify (15y-15)/(3y^2+9y-12)15y−153y2+9y−12? Algebra Rational Equations and Functions Division of Polynomials 1 Answer Deepak G. Aug 6, 2016 =5/(y+4)=5y+4 Explanation: (15y-15)/(3y^2+9y-12)15y−153y2+9y−12 =15(y-1)/(3(y^2+3y-4))=15y−13(y2+3y−4) =5(y-1)/(y^2+3y-4=5y−1y2+3y−4 =5(y-1)/(y^2+4y-y-4)=5y−1y2+4y−y−4 =5(y-1)/(y(y+4)-1(y+4)=5y−1y(y+4)−1(y+4) =5(y-1)/((y+4)(y-1))=5y−1(y+4)(y−1) =5cancel(y-1)/((y+4)cancel(y-1)) =5/(y+4) 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 1575 views around the world You can reuse this answer Creative Commons License