olified) answer for the product of the binomial \[ (g+2)(g+5)=\text { ? } \]

To find the product of the binomial \((g+2)(g+5)\), you can use the distributive property (also known as the FOIL method for binomials). Multiply each term in the first binomial by each term in the second binomial: 1. First: \(g \cdot g = g^2\) 2. Outer: \(g \cdot 5 = 5g\) 3. Inner: \(2 \cdot g = 2g\) 4. Last: \(2 \cdot 5 = 10\) Now, combine all these results: \[ g^2 + 5g + 2g + 10 = g^2 + 7g + 10 \] So, the final answer is: \[ (g+2)(g+5) = g^2 + 7g + 10 \]