( \frac{(n+2)!+(n+1)!}{n!} ) का सरल रूप क्या है?

What is the simplified form of ( \frac{(n+2)!+(n+1)!}{n!} )?

Explanation opens after your attempt
Correct Answer

B. ( (n+1)(n+3) )

Step 1

Concept

((n+1)!) is common in both terms, so the simplified form is ((n+1)(n+3)). Take the common factorial out first.

Step 2

Why this answer is correct

The correct answer is B. ( (n+1)(n+3) ). ((n+1)!) is common in both terms, so the simplified form is ((n+1)(n+3)). Take the common factorial out first.

Step 3

Exam Tip

दोनों पदों में ((n+1)!) सामान्य है, इसलिए सरल रूप ((n+1)(n+3)) है। पहले सामान्य फैक्टोरियल बाहर निकालें।

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Mathematics Answer, Explanation and Revision Hints

( \frac{(n+2)!+(n+1)!}{n!} ) का सरल रूप क्या है? / What is the simplified form of ( \frac{(n+2)!+(n+1)!}{n!} )?

Correct Answer: B. ( (n+1)(n+3) ). Explanation: दोनों पदों में ((n+1)!) सामान्य है, इसलिए सरल रूप ((n+1)(n+3)) है। पहले सामान्य फैक्टोरियल बाहर निकालें। / ((n+1)!) is common in both terms, so the simplified form is ((n+1)(n+3)). Take the common factorial out first.

Which concept should I revise for this Mathematics MCQ?

((n+1)!) is common in both terms, so the simplified form is ((n+1)(n+3)). Take the common factorial out first.

What exam hint can help solve this Mathematics question?

दोनों पदों में ((n+1)!) सामान्य है, इसलिए सरल रूप ((n+1)(n+3)) है। पहले सामान्य फैक्टोरियल बाहर निकालें।