Sure! Let's expand the given expression step-by-step:
We start with the expression \(3(d + 4)\). This expression involves both the distributive property and multiplication.
1. Apply the Distributive Property:
The distributive property states that for any numbers \(a\), \(b\), and \(c\):
[tex]\[
a(b + c) = ab + ac
\][/tex]
In this case, \(a = 3\), \(b = d\), and \(c = 4\). We will distribute the \(3\) to both \(d\) and \(4\).
2. Multiply the \(3\) by \(d\):
[tex]\[
3 \cdot d = 3d
\][/tex]
3. Multiply the \(3\) by \(4\):
[tex]\[
3 \cdot 4 = 12
\][/tex]
4. Combine the results:
After distributing the \(3\) to both terms inside the parentheses, we add the products:
[tex]\[
3d + 12
\][/tex]
Therefore, the expanded form of \(3(d + 4)\) is:
[tex]\[
3d + 12
\][/tex]
