How do you find the quotient of #(a^3+4a^2-18a)diva#? Algebra Rational Equations and Functions Division of Rational Expressions 1 Answer Abhishek K. Dec 24, 2016 #a^2+4a-18# Explanation: Method 1: Here #(a^3+4a^2-18a)÷a# #=(a^3+4a^2-18a)/a# #=a^3/a+(4a^2)/a-(18a)/a rarr# Split the fraction. #=a^(3-1)+4a^2-1-18a^(1-1) rarr#Apply Quotient Law of Indices #=a^2+4a-18# Method 2: #(a^3+4a^2-18a)÷a# #=(a(a^2+4a-18))/a rarr# Take #a# common in dividend #=cancel(a)(a^2+4a-18)/cancel(a) rarr# cancel #a# #=a^2+4a-18# 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 1458 views around the world You can reuse this answer Creative Commons License