Find the product. Simplify your answer. (4a + 1)(4a + 3) ______

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. (4a + 1)(4a + 3) = 4a(4a) + 4a(3) + 1(4a) + 1(3)Perform Multiplication for Each Term: Perform the multiplication for each term. 4a(4a) = 16a^2 4a(3) = 12a 1(4a) = 4a 1(3) = 3Combine Like Terms: Combine like terms. 16a^2 + 12a + 4a + 3 = 16a^2 + (12a + 4a) + 3Add Coefficients of 'a' Terms: Add the coefficients of the 'a' terms. 16a^2 + 16a + 3

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Find the product. Simplify your answer. $\newline$ $(4a + 1)(4a + 3)$

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Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4a + 1)(4a + 3)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. $\newline$ $(4a + 1)(4a + 3) = 4a(4a) + 4a(3) + 1(4a) + 1(3)$
Perform Multiplication for Each Term: Perform the multiplication for each term. $\newline$ $4a(4a) = 16a^2$ $\newline$ $4a(3) = 12a$ $\newline$ $1(4a) = 4a$ $\newline$ $1(3) = 3$
Combine Like Terms: Combine like terms. $\newline$ $16a^2 + 12a + 4a + 3 = 16a^2 + (12a + 4a) + 3$
Add Coefficients of 'a' Terms: Add the coefficients of the 'a' terms. $16a^2 + 16a + 3$