Q.

Which of the following is the simplified form of expressionQuestion Image?


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

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 asQuestion Image.
The given expression needs to be made simpler.
If we carefully examine the given expression, we will observe thatQuestion Imageis given and written in the form ofQuestion Image, and we are aware of the identityQuestion Image.
So we will write Question ImageasQuestion Imagein the above expression.
Question ImageNow we will observe thatQuestion Imageis written in the form ofQuestion Imageand we already know that the identity ofQuestion Imagewhich is equal toQuestion Image.
So we will write Question ImageasQuestion Imagein equation (1).
Question ImageThus, the simplified form of the given expression isQuestion Image.
Hence, the correct answer is option 3.
 
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