Question

find the product. simplify your answer.
(4n + 2)(2n - 1)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
$(4n)(2n) + (4n)(-1) + (2)(2n) + (2)(-1)$

Step2: Simplify each product

Calculate each term:
$8n^2 - 4n + 4n - 2$

Step3: Combine like terms

The $-4n$ and $+4n$ cancel out:
$8n^2 - 2$

Answer:

$8n^2 - 2$