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

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

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. \(2n^2+2n+2\)

Explanation

Simple Explanation

पहला पद ((n+2)(n+1)) और दूसरा (n(n-1)) है। जोड़ने पर \(2n^2+2n+2\) मिलता है। / The first term is ((n+2)(n+1)) and the second is (n(n-1)). Adding gives \(2n^2+2n+2\).

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FAQs

Mathematics Answer, Explanation and Revision Hints

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

Correct Answer: B. \(2n^2+2n+2\). Explanation: पहला पद ((n+2)(n+1)) और दूसरा (n(n-1)) है। जोड़ने पर \(2n^2+2n+2\) मिलता है। / The first term is ((n+2)(n+1)) and the second is (n(n-1)). Adding gives \(2n^2+2n+2\).