\begin{tabular}{l} Use FOIL to multiply. \\ \( \begin{array}{l}(x+5)(x+2) \\ (x+5)(x+2)=\square(\text { Simplify your answer.) }\end{array} \) \\ \hline\end{tabular}

To apply the FOIL method, we use the acronym to remember the order: First, Outside, Inside, Last. First, multiply the first terms: \( x \cdot x = x^2 \). Next, the outside terms: \( x \cdot 2 = 2x \). Then, the inside terms: \( 5 \cdot x = 5x \). Finally, the last terms: \( 5 \cdot 2 = 10 \). Now, combine all these results: \[ (x + 5)(x + 2) = x^2 + 2x + 5x + 10 = x^2 + 7x + 10 \] So, the simplified answer is \( \square = x^2 + 7x + 10 \).