Find the product. Simplify your answer. (3u - 1)(4u - 2) ______

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. (3u - 1)(4u - 2) = 3u(4u) + 3u(-2) - 1(4u) - 1(-2)Perform Multiplication: Perform the multiplication for each term. 3u(4u) = 12u^2 3u(-2) = -6u -1(4u) = -4u -1(-2) = 2Combine Like Terms: Combine like terms. 12u^2 - 6u - 4u + 2 = 12u^2 - 10u + 2Write Final Simplified Form: Write the final simplified form of the product. The product of (3u - 1)(4u - 2) simplified is 12u^2 - 10u + 2.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer. $\newline$ $(3u - 1)(4u - 2)$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(3u - 1)(4u - 2)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. $\newline$ $(3u - 1)(4u - 2) = 3u(4u) + 3u(-2) - 1(4u) - 1(-2)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $3u(4u) = 12u^2$ $\newline$ $3u(-2) = -6u$ $\newline$ $-1(4u) = -4u$ $\newline$ $-1(-2) = 2$
Combine Like Terms: Combine like terms. $\newline$ $12u^2 - 6u - 4u + 2 = 12u^2 - 10u + 2$
Write Final Simplified Form: Write the final simplified form of the product. $\newline$ The product of $(3u - 1)(4u - 2)$ simplified is $12u^2 - 10u + 2$ .