How do you simplify (2a^2-a-6 )/(2a^2+7a+6)*(a^2-2a-8)/(a^2+a-6)? Algebra Rational Equations and Functions Multiplication of Rational Expressions 1 Answer Sasha P. Sep 17, 2015 (a-4)/(a+3) Explanation: (2a^2-a-6)/(2a^2+7a+6) * (a^2-2a-8)/(a^2+a-6)= =(2a^2-4a+3a-6)/(2a^2+4a+3a+6)*(a^2-4a+2a-8)/(a^2-2a+3a-6)= =(2a(a-2)+3(a-2))/(2a(a+2)+3(a+2))*(a(a-4)+2(a-4))/(a(a-2)+3(a-2))= =((2a+3)(a-2))/((2a+3)(a+2))*((a+2)(a-4))/((a+3)(a-2))=(a-4)/(a+3) 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 1769 views around the world You can reuse this answer Creative Commons License