How do you simplify #((a-2)^2(a-5)^3)/((a-2)^3(a-5))#? Algebra Rational Equations and Functions Division of Polynomials 1 Answer Richard Jul 17, 2016 #=(a-5)^2/(a-2)# Explanation: #((a-2)^cancel(2) (a-5)^cancel(3))/((a-2)^cancel(3) (cancel(a-5))# #=(a-2)^-1(a-5)^2# #=(a-5)^2/(a-2)# Answer link Related questions What is an example of long division of polynomials? How do you do long division of polynomials with remainders? How do you divide #9x^2-16# by #3x+4#? How do you divide #\frac{x^2+2x-5}{x}#? How do you divide #\frac{x^2+3x+6}{x+1}#? How do you divide #\frac{x^4-2x}{8x+24}#? How do you divide: #(4x^2-10x-24)# divide by (2x+3)? How do you divide: #5a^2+6a-9# into #25a^4#? How do you simplify #(3m^22 + 27 mn - 12)/(3m)#? How do you simplify #(25-a^2) / (a^2 +a -30)#? See all questions in Division of Polynomials Impact of this question 1323 views around the world You can reuse this answer Creative Commons License