Question

The greatest coefficient in the expansion of $(1 +x)^{2n+2}$ is

• A. $\frac{(2n)!}{(n!)^2}$
• B. $\frac{(2n + 2)!}{((n + 1)!)^2}$
• C. $\frac{(2n + 2)!}{n!(n + 1) !}$
• D. $\frac{(2n)!}{n!(n + 1) !}$

Answer 1

Answer: (B)

$n^2 - (4r + 1) n + 4r^2 - 2 = 0 $ where r = 2