Question

Simplify each expression. $$3 x^{2}-\left(-2 x^{2}\right)-5 x^{2}$$

   Simplify each expression.
$$3 x^{2}-\left(-2 x^{2}\right)-5 x^{2}$$

Intermediate Algebra

Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 1, Problem 105

Instant Answer

Solved by Expert Jeyasree R T

08/04/2020

Step 1

The negative sign in front of the parenthesis changes the sign of the term inside the parenthesis. So, we get: $$3 x^{2}+2 x^{2}-5 x^{2}$$ Show more…

Show all steps

lock

Thanks for your feedback!

Simplify each expression. $$3 x^{2}-\left(-2 x^{2}\right)-5 x^{2}$$

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

Simplifying Algebraic Expressions

Simplifying expressions means rewriting them in a more concise or manageable form by utilizing arithmetic operations, combining like terms, and applying the rules of algebra. This process helps in solving equations and understanding the structure and behavior of algebraic functions.

Combining Like Terms

This concept involves the process of adding or subtracting coefficients of terms that have the same variables raised to the same power. By grouping such terms, the expression can be reduced to a simpler form, making it easier to analyze or solve further.

Properties of Negative Numbers

Understanding how to handle negative numbers is essential when simplifying expressions. This includes recognizing that subtracting a negative number is equivalent to adding its positive counterpart, which is a key insight when rearranging and combining terms in algebraic expressions.

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