Question

find the product. simplify your answer. (w + 3)(2w + 2)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( (w + 3)(2w + 2) = w \cdot 2w + w \cdot 2 + 3 \cdot 2w + 3 \cdot 2 \)

Step2: Simplify each term

Calculate the products:
\( 2w^2 + 2w + 6w + 6 \)

Step3: Combine like terms

Add the \( w \)-terms:
\( 2w^2 + (2w + 6w) + 6 = 2w^2 + 8w + 6 \)

Answer:

\( 2w^2 + 8w + 6 \)