Question

Find each product. $$ (4-3 t)(4+3 t) $$

   Find each product.
$$
(4-3 t)(4+3 t)
$$

Beginning Algebra

Beginning Algebra

Margaret L. Lial,… 11th Edition

Chapter 5, Problem 25

Instant Answer

Solved by Expert Brandon Fox

06/23/2020

Step 1

Here, a is 4 and b is 3t. Show more…

Show all steps

lock

Thanks for your feedback!

Find each product. $$ (4-3 t)(4+3 t) $$

Play audio

Feedback

Powered by NumerAI

Brandon Fox and 70 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Difference of Squares

This concept involves recognizing that the product of two binomials in the form (a - b) and (a + b) can be quickly simplified to a squared minus b squared, or a² - b². It is a fundamental algebraic identity that simplifies multiplication and factorization of expressions by eliminating the middle terms due to cancellation.

Distributive Property

The distributive property allows for the multiplication of each term in one binomial by each term in the other binomial. When applied to (4 - 3t)(4 + 3t), it provides an alternative method of expansion that, upon combining like terms, confirms the difference of squares identity by canceling the cross terms.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later