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

Apply Distributive Property: Apply the distributive property to multiply the two binomials. We need to multiply each term in the first binomial by each term in the second binomial. (3j + 4)(4j + 2) = 3j(4j) + 3j(2) + 4(4j) + 4(2)Perform Multiplication: Perform the multiplication for each pair of terms. Now we multiply the terms together. 3j(4j) = 12j^2 3j(2) = 6j 4(4j) = 16j 4(2) = 8Combine Like Terms: Combine like terms. After multiplication, we add the like terms together. 12j^2 + 6j + 16j + 8 12j^2 + (6j + 16j) + 8 12j^2 + 22j + 8

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(3j + 4)(4j + 2)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ We need to multiply each term in the first binomial by each term in the second binomial. $\newline$ $(3j + 4)(4j + 2) = 3j(4j) + 3j(2) + 4(4j) + 4(2)$
Perform Multiplication: Perform the multiplication for each pair of terms. $\newline$ Now we multiply the terms together. $\newline$ $3j(4j) = 12j^2$ $\newline$ $3j(2) = 6j$ $\newline$ $4(4j) = 16j$ $\newline$ $4(2) = 8$
Combine Like Terms: Combine like terms. $\newline$ After multiplication, we add the like terms together. $\newline$ $12j^2 + 6j + 16j + 8$ $\newline$ $12j^2 + (6j + 16j) + 8$ $\newline$ $12j^2 + 22j + 8$