If (1+2x+x^2)^n=sum(r=0)^(2n)ar x^r ,t h...

If `(1+2x+x^2)^n=sum_(r=0)^(2n)a_r x^r ,t h e na=` `(^n C_2)^2` b. `^n C_rdot^n C_(r+1)` c. `^2n C_r` d. `^2n C_(r+1)`

A

`(""^(n)C_(r))^(2)`

B

`""^(n)C_(r)*""^(n)C_(r+1)`

C

`""^(2n)C_(r)`

D

`""^(2n)C_(r+1)`

Verified by Experts

The correct Answer is:

C

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