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

Identify expression: Identify the expression after distributing (2t - 3). Distribute (2t - 3) to each term of (t + 3). (t + 3)(2t - 3) = t(2t - 3) + 3(2t - 3)Distribute to each term: Simplify t(2t - 3). t(2t - 3) = t(2t) - t(3) = 2t^2 - 3tSimplify t(2t - 3): Simplify 3(2t - 3). 3(2t - 3) = 3(2t) - 3(3) = 6t - 9Simplify 3(2t - 3): Combine the results from Step 2 and Step 3. 2t^2 - 3t + 6t - 9 Combine like terms. = 2t^2 + 3t - 9

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Algebra 2

Add, subtract, multiply, and divide polynomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(t + 3)(2t - 3)

Identify expression: Identify the expression after distributing $(2t - 3)$ . $\newline$ Distribute $(2t - 3)$ to each term of $(t + 3)$ . $\newline$ $(t + 3)(2t - 3) = t(2t - 3) + 3(2t - 3)$
Distribute to each term: Simplify $t(2t - 3)$ .
$t(2t - 3)$
= $t(2t) - t(3)$
= $2t^2 - 3t$
Simplify $t(2t - 3)$ : Simplify $3(2t - 3)$ . $3(2t - 3)$ = $3(2t) - 3(3)$ = $6t - 9$
Simplify $3(2t - 3)$ : Combine the results from Step $2$ and Step $3$ . $\newline$ $2t^2 - 3t + 6t - 9$ $\newline$ Combine like terms. $\newline$ $= 2t^2 + 3t - 9$