Question

Factor the difference of two squares. $$36 x^{2}-49$$

   Factor the difference of two squares.
$$36 x^{2}-49$$

Algebra and Trigonometry

Algebra and Trigonometry

Robert Blitzer 6th Edition

Chapter 0, Problem 41

Instant Answer

Solved by Expert Amanda Stone

06/30/2020

Step 1

The general form of a difference of squares is $a^2 - b^2$. Show more…

Show all steps

lock

Thanks for your feedback!

Factor the difference of two squares. $$36 x^{2}-49$$

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 concept refers to any algebraic expression that takes the form a² - b², where both a² and b² are perfect squares. The key property of the difference of squares is that it can be factored into (a + b)(a - b), a rule derived from the product of the sum and difference of the same two terms. Recognizing this form is essential in simplifying expressions and solving equations efficiently.

Factoring Techniques

Factoring is a fundamental algebraic process used to express a polynomial as a product of its factors. In the context of the difference of squares, the technique involves identifying the square roots of the individual terms under the squares and then applying the difference of squares formula. This approach simplifies the process of breaking down more complex expressions for further analysis or solving equations.

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