Question

$simplify$
​

Answer 1

(a/2b + 2b/a)² - (2b/a - a/2b)²

=(a²+4b²/2ab)² - (4b²-a²/2ab)²

=(a⁴+16b⁴-16b⁴+a⁴)/4a²b²

=2a⁴/4a²b²

=a²/2b²

Answer 2

$[a/2b + 2b/a]^{2}$ - $[2b/a - a/2b]^{2}$

[ (a² + 4b²)/2ab ]² - [ (4b² - a)/2ab ]²

[ (a² + 4b²)²/4a²b² ] - [ (4b² - a)²/4a²b² ]

( a^4 + 16b^4 + 8a²b² - 16b^4 - a^4 + 8a²b² ) / 4a²b²

= 16a²b²/4a²b²

= 4