Simplify the following expression completely. \[ \frac{x}{8} \cdot \frac{32}{x+3} \]

To simplify the expression \( \frac{x}{8} \cdot \frac{32}{x+3} \), we can multiply the fractions together. 1. Multiply the numerators: \( x \cdot 32 = 32x \). 2. Multiply the denominators: \( 8 \cdot (x + 3) = 8(x + 3) \). Now, we have: \[ \frac{32x}{8(x + 3)} \] Next, we can simplify the expression by dividing the numerator and the denominator by 8: \[ \frac{32x \div 8}{8(x + 3) \div 8} = \frac{4x}{x + 3} \] Thus, the simplified expression is: \[ \frac{4x}{x + 3} \]