How do you simplify (x^2-x-12)/(8x^2)div(x^3+3x^2)/(8x^3-2x^2)div(4x-1)/(x+2)? Algebra Rational Equations and Functions Division of Rational Expressions 1 Answer Shwetank Mauria Aug 3, 2016 (x^2-x-12)/(8x^2)-:(x^3+3x^2)/(8x^3-2x^2)-:(4x-1)/(x+2)=((x-4)(x+2))/(4x^2) Explanation: (x^2-x-12)/(8x^2)-:(x^3+3x^2)/(8x^3-2x^2)-:(4x-1)/(x+2) = (x^2-4x+3x-12)/(8x^2)-:(x^2(x+3))/(2x^2(4x-1))-:(4x-1)/(x+2) = (x(x-4)x+3(x-4))/(8x^2)-:(x^2(x+3))/(2x^2(4x-1))-:(4x-1)/(x+2) = ((x+3)(x-4))/(8x^2)xx(2x^2(4x-1))/(x^2(x+3))xx(x+2)/(4x-1) = (cancel((x+3))(x-4))/(4cancel(8x^2))xx(cancel((2x^2))cancel((4x-1)))/(x^2cancel((x+3)))xx(x+2)/(cancel((4x-1)) = ((x-4)(x+2))/(4x^2) 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 1524 views around the world You can reuse this answer Creative Commons License