Question

Factor the difference of squares. $16 x^{2}-9$

   Factor the difference of squares.
$16 x^{2}-9$

Algebra and Trigonometry

Algebra and Trigonometry

Judith A. Beecher,… 4th Edition

Chapter 0, Problem 49

Instant Answer

Solved by Expert Ankit Gupta

07/06/2020

Step 1

The difference of squares is a special case in algebra where a^2 - b^2 can be factored into (a - b)(a + b). Show more…

Show all steps

lock

Thanks for your feedback!

Factor the difference of squares. $16 x^{2}-9$

Play audio

Feedback

Powered by NumerAI

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 is a factoring technique used when an expression can be written in the form a² - b², where both a and b represent any algebraic expressions. The key property is that a² - b² factors into (a + b)(a - b), making it an important tool for simplifying algebraic expressions.

Recognizing Perfect Squares

This concept involves identifying numbers or expressions that are perfect squares, meaning they can be represented as another expression squared. Recognizing perfect squares allows one to apply the difference of squares formula effectively, as it confirms that both terms in the expression fit the pattern required for this technique.

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