How do you simplify #10x^2(x+5)/3 * 9/(2x)#? Algebra Rational Equations and Functions Multiplication of Rational Expressions 1 Answer Olivier B. Jul 30, 2015 #10x^2(x+5)/3cdot9/(2x)=15x^2+75x# Explanation: #10x^2(x+5)/3cdot9/(2x)=(5xcdotcancel(2x))(x+5)/3cdot9/cancel(2x)# #=5x(x+5)/cancel3cdot(3*cancel3)# #=15x(x+5)=15x*x+15x*5=15x^2+75x# 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 1516 views around the world You can reuse this answer Creative Commons License