\(a,2B=2+2^2+...+2^{2023}\)
\(\Rightarrow2B-B=2^{2023}-1\)
\(\Rightarrow B>A\)
\(b,B=\left(200-10\right).\left(200+10\right)\)
\(B=200^2-10^2\)
\(\Rightarrow B< A\)
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