Question

Factor the difference of squares. $36 x^2-81$

   Factor the difference of squares.
$36 x^2-81$

Intermediate Algebra

Intermediate Algebra

Lisa Healey 1st Edition

Chapter 4, Problem 84

Instant Answer

Solved by Expert Patrick Burns

05/08/2020

Step 1

Step 1: Identify the expression to be factored, which is \(36 x^2 - 81\). Show more…

Show all steps

lock

Thanks for your feedback!

Factor the difference of squares. $36 x^2-81$

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 pertains to expressions that can be written in the form a² - b². Recognizing an expression as a difference of squares is crucial as it allows one to factor it into the product of two binomials, (a + b) and (a - b), which simplifies further manipulation and solution of algebraic equations.

Recognizing Perfect Squares

Identifying that each term in the expression is a perfect square is key to applying the difference of squares method. When the terms of an expression can be expressed as squared quantities, it becomes possible to directly use the formula for the difference of squares, streamlining the factoring process.

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