How do you simplify #(x^2+6x-7)/(3x^2)div(x+7)/(6x)#? Algebra Rational Equations and Functions Division of Rational Expressions 1 Answer Rachel May 9, 2017 #(2x-2)/(x)# Explanation: #(x^2+6x-7)/(3x^2)-:(x+7)/(6x)# #((x-1)cancel((x+7)))/(3x^2)xx(6x)/cancel((x+7))# #(6x(x-1))/(3x^2)# #(2 xx cancel(3) xx cancel(x)(x-1))/(cancel(3) xx cancel(x) xx x)# #(2x-2)/(x)# 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 1599 views around the world You can reuse this answer Creative Commons License