How do you find the quotient of (r+2)/(r+1)div4/(r^2+3r+2)? Algebra Rational Equations and Functions Division of Rational Expressions 1 Answer salamat Apr 8, 2017 = (r + 2)^2/4 Explanation: (r + 2)/(r + 1 ) -: 4 / (r^2 + 3 r + 2) change a sign -: to * (multiplication) and the location of 4 / (r^2 + 3 r + 2) = (r + 2)/(r + 1 ) * (r^2 + 3 r + 2)/ 4 factorize (r^2 + 3 r + 2) = (r + 2)/cancel(r + 1 ) * ((r+ 2)cancel((r + 1)))/ 4 = (r + 2)^2/4 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 1600 views around the world You can reuse this answer Creative Commons License