Question

solve
$(2a + \frac{1}{2a} )(2a - \frac{1}{2a} )$

Answer 1

(2a+1/2a)(2a-1/2a)

(2a)^2-(1/2a)^2

is your answer

Answer 2

Using identity ( a-b) (a+b) = a^2 - b^2

$( 2a + \frac{1}{2a} )(2a - \frac{1}{2a} ) \\ \\ = {(2a)}^{2} - ( { \frac{1}{2a} )}^{2} \\ \\ = 4 {a}^{2} - \frac{1}{4 {a}^{2} }$