How do you multiply (5x+2)/(5x)*(25x^2)/(25x^2-4)?

1 Answer
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)