To use the distributive property to remove the parentheses in the expression \(4(9 + u)\), you multiply each term inside the parentheses by 4:
\[ 4(9) + 4(u) \]
Calculating the first term:
\[ 4 \times 9 = 36 \]
So, the expression becomes:
\[ 36 + 4u \]
Therefore, the expression \(4(9 + u)\) simplifies to:
\[ 36 + 4u \]