Which property of operations should be applied first when adding 5(g+2)+3(h−4)

In the expression \(5(g + 2) + 3(h - 4)\), the first property that should be applied is the distributive property. This property allows you to multiply each term inside the parentheses by the factor outside the parentheses.

In this case, you would distribute \(5\) to \((g + 2)\) and \(3\) to \((h - 4)\) first before performing any addition.

So, the correct response is distributive property.