Question

Simplify the expression if possible. $$\frac{3 x^{2}-18 x}{-9 x^{2}}$$

   Simplify the expression if possible.
$$\frac{3 x^{2}-18 x}{-9 x^{2}}$$

Algebra 1

Ron Larson, Laurie… 1st Edition

Chapter 11, Problem 13

Instant Answer

Solved by Expert Anna Jones

09/27/2020

Step 1

This gives us: $$\frac{3x(x-6)}{-9x^2}$$ Show more…

Show all steps

lock

Thanks for your feedback!

Simplify the expression if possible. $$\frac{3 x^{2}-18 x}{-9 x^{2}}$$

Play audio

Feedback

Powered by NumerAI

Anna Jones and 93 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

Factorization

Factorization is the process of rewriting an algebraic expression as a product of its factors. This step is essential in simplifying rational expressions as it exposes common factors in the numerator and denominator that can later be canceled.

Cancellation of Common Factors

After factorizing expressions, common factors present in both the numerator and the denominator can often be canceled. This step reduces the rational expression to its simplest form, provided that the factors are not equal to zero.

Simplification of Rational Expressions

Simplifying rational expressions involves a sequence of steps including factoring, canceling common factors, and properly handling any negative signs. The goal is to present the expression in its simplest and most reduced form while also considering the domain restrictions.

Handling Negative Signs

Properly managing negative signs in expressions is crucial during simplification. By correctly handling negatives, for example by factoring them out, the process of canceling common factors is made clearer and simpler.

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