To express the phrase "the product of 8 and the sum of a number and 4," let's break it down step by step.
- Let the unknown number be represented by \( x \).
- The sum of this number and 4 can be expressed as \( x + 4 \).
- The product of 8 and this sum can be written as:
\[ 8 \times (x + 4) \]
So, the final expression for the phrase is:
\[ 8(x + 4) \]