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

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. (3q - 1)(2q - 1) = 3q(2q) + 3q(-1) - 1(2q) - 1(-1)Perform Multiplication: Perform the multiplication for each term. 3q(2q) = 6q^2 3q(-1) = -3q -1(2q) = -2q -1(-1) = 1Combine Like Terms: Combine the like terms from the multiplication. 6q^2 - 3q - 2q + 1Add Like Terms: Add the like terms to simplify the expression. 6q^2 - 3q - 2q + 1 = 6q^2 - 5q + 1

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(3q - 1)(2q - 1)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. $\newline$ $(3q - 1)(2q - 1) = 3q(2q) + 3q(-1) - 1(2q) - 1(-1)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $3q(2q) = 6q^2$ $\newline$ $3q(-1) = -3q$ $\newline$ $-1(2q) = -2q$ $\newline$ $-1(-1) = 1$
Combine Like Terms: Combine the like terms from the multiplication. $6q^2 - 3q - 2q + 1$
Add Like Terms: Add the like terms to simplify the expression. $\newline$ $6q^2 - 3q - 2q + 1 = 6q^2 - 5q + 1$