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Q.

Write the correct simplified form of this expressionQuestion Image:


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is A.

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Detailed Solution

Concept- To solve this question, we used algebraic concepts. Question Imageis the essential identity that we used. We will only take 2 terms at a time while simplifying the numerator. If we don’t, it will get complicated and we could make a mistake. Before cancelling, we will attend to the power of x. And before factoring, we will ensure that the sign of the variable and the constant are both negative.
The expression is given asQuestion ImageFirst, we will solve the values inside the bracket
Question ImageBy using this identityQuestion Image, we will simplify the numerator and denominator.
Question ImageWe will now take out the common terms outside the bracket.
Question ImageSo, we get Question ImageNow we will fix the multiplication sign in place of the division sign and then reciprocate the terms.
Question ImageQuestion ImageAs a result, the required simplified expression isQuestion Image.
Hence, the correct answer is option 1.
 
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