( \frac{(n!)2}{(n-2)!(n+2)!} ) का सरल रूप क्या है?
What is the simplified form of ( \frac{(n!)2}{(n-2)!(n+2)!} )?
Explanation opens after your attempt
Correct Answer
B. ( \frac{n(n-1)}{(n+1)(n+2)} )
Concept
( \frac{n!}{(n-2)!}=n(n-1) ) and ( \frac{n!}{(n+2)!}=\frac{1}{(n+2)(n+1)} ), so the answer follows. Break the ratio into two parts.
Why this answer is correct
The correct answer is B. ( \frac{n(n-1)}{(n+1)(n+2)} ). ( \frac{n!}{(n-2)!}=n(n-1) ) and ( \frac{n!}{(n+2)!}=\frac{1}{(n+2)(n+1)} ), so the answer follows. Break the ratio into two parts.
Exam Tip
( \frac{n!}{(n-2)!}=n(n-1) ) और ( \frac{n!}{(n+2)!}=\frac{1}{(n+2)(n+1)} ), इसलिए उत्तर मिलता है। अनुपात को दो भागों में तोड़ें।
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