( \frac{(n+3)!}{n!}+\frac{(n+1)!}{(n-2)!} ) का सरल रूप क्या है?
What is the simplified form of ( \frac{(n+3)!}{n!}+\frac{(n+1)!}{(n-2)!} )?
Explanation opens after your attempt
Correct Answer
A. \(2n^3+6n^2+4n+6\)
Concept
The first term is ((n+3)(n+2)(n+1)) and the second is ((n+1)n(n-1)). Adding gives \(2n^3+6n^2+4n+6\).
Why this answer is correct
The correct answer is A. \(2n^3+6n^2+4n+6\). The first term is ((n+3)(n+2)(n+1)) and the second is ((n+1)n(n-1)). Adding gives \(2n^3+6n^2+4n+6\).
Exam Tip
पहला पद ((n+3)(n+2)(n+1)) और दूसरा ((n+1)n(n-1)) है। जोड़ने पर \(2n^3+6n^2+4n+6\) मिलता है।
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