To simplify the expression \( 2c^2 + 9c^2 + 5c^2 \), you can combine the like terms (which are all \( c^2 \) terms):
\[ 2c^2 + 9c^2 + 5c^2 = (2 + 9 + 5)c^2 \]
Now, add the coefficients together:
\[ 2 + 9 + 5 = 16 \]
So, the expression simplifies to:
\[ 16c^2 \]
Therefore, the simplified expression is \( \boxed{16c^2} \).