Expand the expression using the Binomial Theorem:
\[
(2 x+1)^{5}=\square x^{5}+\square x^{4}+\square x^{3}+\square x^{2}+\square x+\square
\]

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Step 1 ：Define a function to calculate the binomial coefficient. This function will take two arguments, n and k, and return the binomial coefficient of n choose k.

Step 2 ：Use this function to calculate the coefficients for each term in the expansion of the expression \((2x+1)^5\).

Step 3 ：Substitute a=2, b=1, and n=5 into the formula for each term to get the expanded expression.

Step 4 ：Calculate the binomial coefficient for each term in the expansion, multiply it by \(a^{(n-k)}\) and \(b^k\) to get the coefficient for that term, and then add it to the expansion.

Step 5 ：The final expanded expression using the Binomial Theorem is: \((2x+1)^5 = 32x^5 + 80x^4 + 80x^3 + 40x^2 + 10x + 1\)