How do you simplify (6y)/(y^2+y-72) div y^6/(8-y)? Algebra Rational Equations and Functions Division of Rational Expressions 1 Answer Sudip Sinha Jul 25, 2015 - 6 / ( y^5 ( y + 9 ) ) Explanation: ( 6y ) / ( y^2 + y - 72 ) -: y^6 / ( 8 - y ) ( 6y ) / ( ( y + 9 ) ( y - 8 ) ) ( 8 - y ) / y^6 - ( 6 cancel(y) ) / ( ( y + 9 ) cancel( ( y - 8 ) ) ) ( cancel( ( y - 8 ) ) ) / y^(cancel(6) 5) - 6 / ( y^5 ( y + 9 ) ) Answer link Related questions What is Division of Rational Expressions? How does the division of rational expressions differ from the multiplication of rational expressions? How do you divide 3 rational expressions? How do you divide rational expressions? How do you divide and simplify \frac{9x^2-4}{2x-2} -: \frac{21x^2-2x-8}{1} ? How do you divide and reduce the expression to the lowest terms 2xy \-: \frac{2x^2}{y}? How do you divide \frac{x^2-25}{x+3} \-: (x-5)? How do you divide \frac{a^2+2ab+b^2}{ab^2-a^2b} \-: (a+b)? How do you simplify (w^2+6w+5)/(w+5)? How do you simplify (x^4-256)/(x-4)? See all questions in Division of Rational Expressions Impact of this question 1753 views around the world You can reuse this answer Creative Commons License