Question

find the product. simplify your answer.
(v + 4)(4v + 2)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( (v + 4)(4v + 2) = v \cdot 4v + v \cdot 2 + 4 \cdot 4v + 4 \cdot 2 \)

Step2: Simplify each term

Calculate the products:
\( 4v^2 + 2v + 16v + 8 \)

Step3: Combine like terms

Add the \( v \)-terms:
\( 4v^2 + (2v + 16v) + 8 = 4v^2 + 18v + 8 \)

Answer:

\( 4v^2 + 18v + 8 \)