How do you simplify #(x^2-y^2)/(5x^3)*(y^2)/(15x^2y^5)#? Algebra Rational Equations and Functions Multiplication of Rational Expressions 1 Answer St.Roller May 7, 2018 #(x^2 - y^2)/(75x^5y^3)# Explanation: As per the question, #(x^2 - y^2)/(5x^3) * y^2/(15x^2y^5)# #(y^2(x^2 - y^2))/((5x^3)(15x^2y^5))# #(y^2(x^2 - y^2))/(75x^5y^5)# #((x^2 - y^2))/(75x^5y^3)# ... [#y^2# gets cancelled by #y^2# from #y^5# so #y^3# is remaining] Answer link Related questions What is Multiplication of Rational Expressions? How do you multiplying rational expressions? Is multiplication of rational expressions commutative? How do you multiply #\frac{12x^2-x-6}{x^2-1} \cdot \frac{x^2+7x+6}{4x^2-27x+18}#? How do you multiply and simplify to the lowest terms #\frac{x^3}{2y^3} \cdot \frac{2y^2}{x}#? How do you multiply #\frac{5x^2+16x+3}{36x^2-25} \cdot (6x^2+5x)#? How do you multiply and simplify the expression #2xy \cdot \frac{2y^2}{x^3}#? How do you multiply #(a^2-a-12)/(a^2-5a+4)*(a^2+2a-3)/(a^2+a-6)#? How do you multiply #(4(x+2))/(5x)*(6x^2)/(2x)#? How do you multiply #(30a^2)/(18b)*(6b)/(5a)#? See all questions in Multiplication of Rational Expressions Impact of this question 1916 views around the world You can reuse this answer Creative Commons License