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Which of the following is the simplified form of expression?

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answer is C.

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Detailed Solution

Concept- In order to solve the given question, we will apply the following identities
Question Image

The algebraic expression is given as Question Image

.
The given expression needs to be made simpler.
If we carefully examine the given expression, we will observe that

is given and written in the form of

, and we are aware of the identity

.
So we will write

in the above expression.
Question Image

Now we will observe that

is written in the form of

and we already know that the identity of

which is equal to

.
So we will write

in equation (1).
Question Image

Thus, the simplified form of the given expression is

.
Hence, the correct answer is option 3.

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