What is the simplified form of ( \frac{(n!)^2}{(n-3)!(n+3)!} )?( \frac{(n!)^2}{(n-3)!(n+3)!} ) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \frac{n(n-1)(n-2)}{(n+1)(n+2)(n+3)} )( \frac{n(n-1)(n-2)}{(n+1)(n+2)(n+3)} )
( \frac{n!}{(n-3)!}=n(n-1)(n-2) ) and ( \frac{n!}{(n+3)!}=\frac{1}{(n+1)(n+2)(n+3)} ). Multiply both parts.( \frac{n!}{(n-3)!}=n(n-1)(n-2) ) और ( \frac{n!}{(n+3)!}=\frac{1}{(n+1)(n+2)(n+3)} )। दोनों भागों को गुणा करें।
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