Question

find the product. simplify your answer.
(2w + 4)(4w + 3)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
$(2w)(4w) + (2w)(3) + (4)(4w) + (4)(3)$

Step2: Simplify each product

Calculate each term:
$8w^2 + 6w + 16w + 12$

Step3: Combine like terms

Add the $w$ terms:
$8w^2 + (6w + 16w) + 12 = 8w^2 + 22w + 12$

Answer:

$8w^2 + 22w + 12$