Cho

Câu hỏi: Cho $(x+1{)}^{200}=C_{200}^0$$+C_{200}^{1}x+C_{200}^2{x}^2+$$...+C_{200}^{200}{x}^{200}$. Tính tổng $2^2{C}_{200}^2+3^2{C}_{200}^3+...$$+{200}^2{C}_{200}^{200}$.

A. $200\left(201\times 2^{198}-1\right)$

B. $200\left(201\times 2^{198}+1\right)$

C. $200\left(201\times 2^{199}-1\right)$

D. $200\left(201\times 2^{199}+1\right)$