How do you multiply (5x+2)/(5x)*(25x^2)/(25x^2-4)? Algebra Rational Equations and Functions Multiplication of Rational Expressions 1 Answer Don't Memorise May 23, 2015 (5x+2)/(5x)*((25x^2)/(25x^2-4)) We know that color(blue)(a^2 - b^2 = (a+b)(a-b) so, 25x^2-4 =(5x)^2 - (2)^2= (5x+2)(5x-2) the expression can be written as: (cancel(5x+2))/((5x))*(25x^2)/(cancel(5x+2)(5x-2)) = (25x^2)/((5x)(5x-2)) = (5x)/(5x-2) 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 1758 views around the world You can reuse this answer Creative Commons License