Find the product. Simplify your answer. (2w + 3)(3w - 2) ______

Apply Distributive Property: We need to apply the distributive property to multiply the two binomials (2w + 3) and (3w - 2). (2w + 3)(3w - 2) = 2w(3w - 2) + 3(3w - 2)Distribute 2w: Now we distribute 2w to both terms in the binomial (3w - 2). 2w(3w - 2) = 2w(3w) - 2w(2) = 6w^2 - 4wDistribute 3: Next, we distribute 3 to both terms in the binomial (3w - 2). 3(3w - 2) = 3(3w) - 3(2) = 9w - 6Combine Results: Combine the results from the previous steps to get the full expression. (2w + 3)(3w - 2) = 6w^2 - 4w + 9w - 6Combine Like Terms: Now we combine like terms (-4w and 9w). 6w^2 - 4w + 9w - 6 = 6w^2 + (9w - 4w) - 6 = 6w^2 + 5w - 6

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer. $\newline$ $(2w + 3)(3w - 2)$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(2w + 3)(3w - 2)

Apply Distributive Property: We need to apply the distributive property to multiply the two binomials $(2w + 3)$ and $(3w - 2)$ . $(2w + 3)(3w - 2) = 2w(3w - 2) + 3(3w - 2)$
Distribute $2w$ : Now we distribute $2w$ to both terms in the binomial $(3w - 2)$ . $\newline$ $2w(3w - 2) = 2w(3w) - 2w(2)$ $\newline$ $= 6w^2 - 4w$
Distribute $3$ : Next, we distribute $3$ to both terms in the binomial $3w - 2$ . $3(3w - 2) = 3(3w) - 3(2)$ $= 9w - 6$
Combine Results: Combine the results from the previous steps to get the full expression. $\newline$ $(2w + 3)(3w - 2) = 6w^2 - 4w + 9w - 6$
Combine Like Terms: Now we combine like terms $(-4w$ and $9w$ ). $\newline$ $6w^2 - 4w + 9w - 6 = 6w^2 + (9w - 4w) - 6$ $\newline$ $= 6w^2 + 5w - 6$