Evaluate \( 3 x^{2}+7 y^{3} \) when \( x=4 \) and \( y=3 \). Provide your answer in the box below. The value of the expression is: Enter your answer Notes: - Simplify your answer to a single numerical value. - Do not include spaces or any additional symbols in your answer.

To evaluate the expression \( 3 x^{2}+7 y^{3} \) when \( x=4 \) and \( y=3 \), we first substitute the values of \( x \) and \( y \) into the expression. Calculating each part: 1. \( 3 x^{2} = 3(4^{2}) = 3(16) = 48 \) 2. \( 7 y^{3} = 7(3^{3}) = 7(27) = 189 \) Now, we add these results together: \( 48 + 189 = 237 \) Therefore, the value of the expression is: 237