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Question:

x raise to the power 2 2 raise to the power 2 divided by x-2 where x=2 its have two answer with identity its answer is 4 and without identity its answer is 0 so please say to me what is real answer

Answer:

Given,  (x2 - 22 )/(x - 2)

If we put x = 2 directly, we get

(22 - 22 )/(2 - 2) = (4 - 4)/0 = 0/0

This number is not defined.

Now, apply identity (x2 - a2 ) = (x - a)*(x + a) , we get

= {(x - 2)*(x + 2)}/(x - 2)

= x + 2

When x = 2, we get

x + 2 = 2 + 2 = 4

So, 4 is the correct answer.

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