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:

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