Question

8\left(\frac{1}{4}x+\frac{1}{2}\right) simplify

Answer 1

To simplify \( 8\left(\frac{1}{4}x + \frac{1}{2}\right) \), apply the distributive property:

1. Distribute the 8 to each term inside the parentheses:

\[
= 8 \cdot \frac{1}{4}x + 8 \cdot \frac{1}{2}
\]

2. Calculate each term:

- For the first term:
\[
8 \cdot \frac{1}{4}x = 2x
\]

- For the second term:
\[
8 \cdot \frac{1}{2} = 4
\]

3. Combine the terms:

\[
2x + 4
\]

Thus, the simplified expression is:

\[
\boxed{2x + 4}
\]