( \frac{(n+3)!}{n!}-\frac{(n+2)!}{(n-1)!} ) का सरल रूप क्या है?
What is the simplified form of ( \frac{(n+3)!}{n!}-\frac{(n+2)!}{(n-1)!} )?
Explanation opens after your attempt
Correct Answer
D. (3(n+1)(n+2))
Concept
The first term is ((n+3)(n+2)(n+1)) and the second is (n(n+1)(n+2)), so the difference is (3(n+1)(n+2)). Take common factors out.
Why this answer is correct
The correct answer is D. (3(n+1)(n+2)). The first term is ((n+3)(n+2)(n+1)) and the second is (n(n+1)(n+2)), so the difference is (3(n+1)(n+2)). Take common factors out.
Exam Tip
पहला पद ((n+3)(n+2)(n+1)) और दूसरा (n(n+1)(n+2)) है, इसलिए अंतर (3(n+1)(n+2)) है। समान गुणकों को बाहर निकालें।
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