Math, asked by subha50, 1 year ago

(a/2b+2b/a)^2-(a/2b-2b/a)^2-4

Answers

Answered by Anant02
35

 {( \frac{a}{2b} +  \frac{2b}{a})  }^{2}  -  {( \frac{a}{2b} -  \frac{2b}{a})}^{2}  - 4 \\  = ( \frac{a}{2b}  +  \frac{2b}{a}  +  \frac{a}{2b}  -  \frac{2b}{a} )( \frac{a}{2b}  +  \frac{2b}{a}  -  \frac{a}{2b}  +  \frac{2b}{a} ) - 4 \\  = ( \frac{2a}{2b} )( \frac{4b}{a} ) - 4 \\  = 4 - 4 = 0
Answered by VAISHNAVPILLAI
6

Answer:

Step-by-step explanation:

We know that

(x+y)^2 -(x-y)^2 =4xy-----(1)

Here

x=a/2b,

y=2b/a

Then given problem can be written as

(x+y)^2-(x-y)^2-4

=4xy-4 [from(1)]

=4*a/2b *2b/a -4

=4-4

=0

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