Question

Factor the difference of squares. $25 x^2-196$

   Factor the difference of squares.
$25 x^2-196$

Intermediate Algebra

Intermediate Algebra

Lisa Healey 1st Edition

Chapter 4, Problem 81

Instant Answer

Solved by Expert Patrick Burns

05/08/2020

Step 1

Step 1: Identify the expression to be factored, which is \( 25x^2 - 196 \). Show more…

Show all steps

lock

Thanks for your feedback!

Factor the difference of squares. $25 x^2-196$

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

Recognition of Perfect Squares

Identifying when terms in an expression are perfect squares is key to applying the difference of squares technique. This involves recognizing that both coefficients and variables can form perfect squares, allowing the expression to be rewritten in a form where the difference of squares formula can be applied.

Difference of Squares Factorization

This is an algebraic technique used to factor expressions that can be represented as the difference between two perfect squares. It relies on the identity a² - b² = (a - b)(a + b), which simplifies the expression by breaking it into two binomials. Understanding this method is essential for simplifying and solving various algebraic problems.

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