Question

Subtract. $$\left(4 b^{2}+5 b-1\right)-\left(-4 b^{2}-3 b-6\right)$$

   Subtract.
$$\left(4 b^{2}+5 b-1\right)-\left(-4 b^{2}-3 b-6\right)$$

Beginning Algebra: A Guided Approach

Beginning Algebra: A Guided Approach

Rosemary Karr,… 10th Edition

Chapter 4, Problem 60

Instant Answer

Solved by Expert Julie Silva

05/07/2021

Step 1

Since there is nothing in front of the first set of parentheses, the terms inside remain the same. However, there is a negative sign in front of the second set of parentheses, which means we have to change the sign of each of the terms inside. $$\left(4 b^{2}+5 Show more…

Show all steps

lock

Thanks for your feedback!

Subtract. $$\left(4 b^{2}+5 b-1\right)-\left(-4 b^{2}-3 b-6\right)$$

Play audio

Feedback

Powered by NumerAI

Julie Silva and 74 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

Combining Like Terms

This key concept involves adding or subtracting coefficients of terms that have the same variable raised to the same power. After applying the distributive property in a polynomial subtraction problem, like terms become apparent, and combining them is essential to simplify the expression to its most compact form.

Polynomial Subtraction

This concept involves removing one polynomial from another by subtracting each corresponding term. In polynomial subtraction, attention is given to the signs before each term to ensure that terms with the same degree are correctly combined. It is a fundamental operation in algebra that simplifies expressions and prepares them for further algebraic manipulations.

Distributive Property

The distributive property is used in the context of subtraction to correctly distribute the negative sign across the terms of the polynomial being subtracted. By applying the distributive property, the subtraction problem is converted into an addition problem, where the signs of each term in the subtracted polynomial are reversed, allowing for easier combination of like terms.

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