Expand the Expression: 8x(5+y) Using Distributive Property

To solve this problem, we will simplify the expression $8x(5+y)$ using the distributive property.

• Step 1: Recognize the expression as $8x$ multiplied by two terms inside a parenthesis, $5$ and $y$.
• Step 2: Apply the distributive property: $8x(5+y) = 8x \cdot 5 + 8x \cdot y$.
• Step 3: Compute each multiplication:
  - $8x \cdot 5 = 40x$
  - $8x \cdot y = 8xy$
• Step 4: Combine the results from the multiplication steps: $40x + 8xy$.

Thus, the simplified expression of $8x(5+y)$ is $40x + 8xy$.

Comparing with provided answer choices, the correct solution corresponds to choice $1: 40x + 8xy$.