Question

complete the table.
product expression | sum expression
| 4x + 8
(6 + 8)d |
| 10m + 7m

Explanation:

Step1: Simplify the product expression

The product expression is \((6 + 8)d\). First, calculate the sum inside the parentheses: \(6+8 = 14\).

Step2: Distribute the multiplication (or recognize the distributive property)

Using the distributive property \(a(b + c)=ab+ac\), here \(a = d\), \(b = 6\), \(c = 8\), so \((6 + 8)d=6d+8d\).

Answer:

\(6d + 8d\) (or also \(14d\) can be considered as a simplified sum expression, but based on expanding the product \((6 + 8)d\) into a sum of terms with \(d\), \(6d+8d\) is the sum expression from the product)