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Find the product. Simplify your answer. $\newline$ $(4a + 4)(4a + 2)$

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Multiply polynomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(4a + 4)(4a + 2)

Apply Distributive Property: We will use the distributive property to multiply each term in the first binomial by each term in the second binomial. $\newline$ First, multiply $4a$ by $4a$ to get $16a^2$ .
Multiply Terms: Next, multiply $4a$ by $2$ to get $8a$ .
Combine Products: Now, multiply $4$ by $4a$ to get $16a$ .
Combine Like Terms: Finally, multiply $4$ by $2$ to get $8$ .
Add Like Terms: Combine all the products: $16a^2 + 8a + 16a + 8$ .
Add Like Terms: Combine all the products: $16a^2 + 8a + 16a + 8$ .Combine like terms: $16a^2 + (8a + 16a) + 8$ .
Add Like Terms: Combine all the products: $16a^2 + 8a + 16a + 8$ .Combine like terms: $16a^2 + (8a + 16a) + 8$ .Add the like terms: $16a^2 + 24a + 8$ .

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