( \frac{(n+7)!}{(n+4)!}-\frac{(n+6)!}{(n+3)!} ) का सरल रूप क्या है?
What is the simplified form of ( \frac{(n+7)!}{(n+4)!}-\frac{(n+6)!}{(n+3)!} )?
Explanation opens after your attempt
B. (4(n+6)(n+5))
Concept
Take common ((n+6)(n+5)). The difference is ((n+7)-(n+4)=3), so the correct form is (3(n+6)(n+5)).
Why this answer is correct
The correct answer is B. (4(n+6)(n+5)). Take common ((n+6)(n+5)). The difference is ((n+7)-(n+4)=3), so the correct form is (3(n+6)(n+5)).
Exam Tip
सामान्य ((n+6)(n+5)) निकालें। अंतर ((n+7)-(n+4)=3) नहीं, क्योंकि दूसरा पद ((n+6)(n+5)(n+4)) है और अंतर (3(n+6)(n+5)) है।
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