How do you simplify #(14x^2)/(2(x-2)) * (2x^2-2x-4)/(7x)#? Algebra Rational Equations and Functions Multiplication of Rational Expressions 1 Answer MeneerNask Jul 23, 2015 Factorise and cancel Explanation: #=(2*7*x*x)/(2(x-2))*( 2(x+1)(x-2))/(7*x)# #=(cancel2*cancel7*cancelx*x)/(cancel2*cancel((x-2)))*(2(x+1)cancel((x-2)))/(cancel7*cancelx)# #=2x(x+1)=2x^2+2x# (whichever you prefer) 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 1295 views around the world You can reuse this answer Creative Commons License