Find the product. Simplify your answer. (4y + 3)(4y + 2) ______

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials. (4y + 3)(4y + 2) = 4y(4y) + 4y(2) + 3(4y) + 3(2)Perform Multiplication: Perform the multiplication for each term. 4y(4y) = 16y^2 4y(2) = 8y 3(4y) = 12y 3(2) = 6Combine Like Terms: Combine like terms. 16y^2 + 8y + 12y + 6 = 16y^2 + (8y + 12y) + 6 16y^2 + 20y + 6

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer. $\newline$ $(4y + 3)(4y + 2)$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(4y + 3)(4y + 2)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials. $\newline$ $(4y + 3)(4y + 2) = 4y(4y) + 4y(2) + 3(4y) + 3(2)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $4y(4y) = 16y^2$ $\newline$ $4y(2) = 8y$ $\newline$ $3(4y) = 12y$ $\newline$ $3(2) = 6$
Combine Like Terms: Combine like terms. $\newline$ $16y^2 + 8y + 12y + 6 = 16y^2 + (8y + 12y) + 6$ $\newline$ $16y^2 + 20y + 6$