How do you solve #4/(x+2 )*( x^2-4)/(4x-8)#? Algebra Rational Equations and Functions Multiplication of Rational Expressions 1 Answer Don't Memorise Oct 19, 2015 #4/(x+2 )*( x^2-4)/(4x-8) = color(green)(1# Explanation: #4/(x+2 )*( x^2-4)/(4x-8) = 4/(x+2) X (x^2-2^2)/(4(x-2))# We know that #color(blue)(a^2 - b^2 = (a+b)(a-b)# Hence #x^2 - 2^2 = (x + 2)(x - 2)# The expression will equal #cancel(4)/cancel((x+2)) X {cancel((x+2))cancel((x-2))}/(cancel(4)cancel((x-2)))# # = 1# 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 1224 views around the world You can reuse this answer Creative Commons License