To simplify the expression \(3b^2 + 33b\), let's factor it:
- First, factor out the common factor, which is \(3b\): \[ 3b^2 + 33b = 3b(b + 11) \]
So, the expression simplifies to \(3b(b + 11)\).
However, it looks like you want a final result in a specific format. Given your options, none of them match \(3b(b + 11)\) directly.
If you meant to interpret "3b11" as \(3b + \frac{3}{11}\), that would not match the original expression either.
Let's look at the choices to determine what might work best based on standard simplification. Upon seeing the options:
- \(3b + 311\)
- \(\frac{3b + 3}{11}\)
- \(\frac{6b}{11}\)
- \(\frac{6}{11}\)
- \(3b11 + 3\)
None of these directly correlate to a simple simplification of \(3b^2 + 33b\).
If we stick closely to factoring alone, it holds as \(3b(b + 11)\). If you're supposed to select one of the options, please clarify what operation needs to be performed, or provide more context, as the expressions seem to deviate from the straightforward simplification.