Math, asked by exokai, 1 year ago

(a/2b+2b/a)^2-(2b/a-a/2b)^2​

Answers

Answered by sumithcolaco
14

Answer:

4

Step-by-step explanation:

(a/2b+2b/a)^2-(2b/a-a/2b)^2=[(a/2b)^2+(2b/a)^2+2]-[(a/2b)^2+(2b/a)^2-2]

=4

Answered by honeybee12
7

Step-by-step explanation:

(a/2b + 2b/a)² - (2b/a - a/2b)²

It is in formulae...

write the identities of both :-

= (a²+ 2ab +b²) - (a²+ 2ab -b²)

= [(a/2b)² + 2× (a/2b)× (2b/a) +(2b/a)²] - [(2b/a)² +2×(2b/a) ×(a/2b) - (a/2b)²]

= [(a²/4b²) + 2 + (4b²/a²)] - [(4b²/a²) +2 -(a²/4b²)

Therefore, after cancelling —

It gives out...

= 2+2

= 4 Answer.

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