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

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the first terms, the outer terms, the inner terms, and the last terms together. (4q + 1)(4q + 3) = 4q(4q) + 4q(3) + 1(4q) + 1(3)Calculate First Terms: Calculate the product of the first terms: 4q(4q) = 16q^2.Calculate Outer Terms: Calculate the product of the outer terms: 4q(3) = 12q.Calculate Inner Terms: Calculate the product of the inner terms: 1(4q) = 4q.Calculate Last Terms: Calculate the product of the last terms: 1(3) = 3.Combine Products: Combine all the products: 16q^2 + 12q + 4q + 3.Combine Like Terms: Combine like terms: 16q^2 + (12q + 4q) + 3 = 16q^2 + 16q + 3.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(4q + 1)(4q + 3)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the first terms, the outer terms, the inner terms, and the last terms together. $\newline$ $(4q + 1)(4q + 3) = 4q(4q) + 4q(3) + 1(4q) + 1(3)$
Calculate First Terms: Calculate the product of the first terms: $4q(4q) = 16q^2$ .
Calculate Outer Terms: Calculate the product of the outer terms: $4q(3) = 12q$ .
Calculate Inner Terms: Calculate the product of the inner terms: $1(4q) = 4q$ .
Calculate Last Terms: Calculate the product of the last terms: $1(3) = 3$ .
Combine Products: Combine all the products: $16q^2 + 12q + 4q + 3$ .
Combine Like Terms: Combine like terms: $16q^2 + (12q + 4q) + 3 = 16q^2 + 16q + 3$ .