To simplify the expression \(3b^2 + 33b^{11}b\), we start by recognizing that we can combine like terms.
First, we have:
\[ 3b^2 + 33b^{12} \quad \text{(since } 33b^{11}b = 33b^{12}\text{)} \]
Next, we see that these terms are not like terms because one is \(b^2\) and the other is \(b^{12}\). Thus, they cannot be combined further.
As a result, the simplified expression remains \(3b^2 + 33b^{12}\).
However, if we are to evaluate the original options provided, none of them appear to match the actual simplified form. The original expression further implies looking for potential common factors or simpler representations.
In that context, the options given seem to include incorrect representations or alternatives; none of the options match \(3b^2 + 33b^{12}\).
Please let me know if there's any specific option you would like to clarify against a structure or further details.