Question

2(4 + 9w)\
options: 2+9w, 2+9, 8+18w, 8+9w

Explanation:

Step1: Apply Distributive Property

The distributive property states that \( a(b + c) = ab + ac \). For \( 2(4 + 9w) \), we multiply 2 with each term inside the parentheses.

$$ 2\times4 + 2\times9w $$

Step2: Calculate Each Product

Calculate \( 2\times4 = 8 \) and \( 2\times9w = 18w \).

$$ 8 + 18w $$

Answer:

\( 8 + 18w \) (corresponding to the third option, "8+18w")