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What is  +  equal to ?

This question was previously asked in
CDS Elementary Mathematics 3 Sep 2023 Official Paper
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Answer (Detailed Solution Below)

Option 3 :
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Detailed Solution

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Given:

  +  

Formula Used:

1. (a + b)2 = a2 + b2 + 2ab

2. (a - b)2 = a2 + b2 - 2ab

3. (a2 - b2) = (a - b)(a + b)

Calculation:

  +  

⇒  + 

By using the identity (1) & (2)

⇒   +   

By using the identity 3) 

⇒ + 

⇒  + 

⇒ = 

∴ The correct answer is .

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