Question
upstudy study bank question image url

Simplify.




Ask by Garrett Burton. in the United States
Mar 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The simplified expression is .

Solution

We start with the expression:
First, distribute the subtraction across the second group:
Next, combine like terms:
  • For the terms:
  • For the terms:
  • For the constant terms:
Thus, the simplified expression is:

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Extra Insights

To simplify the expression , we first distribute the negative sign across the second set of parentheses. This gives us:
.
Now, we combine like terms:
  • For :
  • For :
  • For the constant terms:
Putting it all together, we arrive at the simplified expression:
.
So, the correct answer is .
Now for additional relevant knowledge:
Simplifying expressions is like tidying up your room! You want to gather all the like items together— your shoes, your books, your toys—just like you gather the coefficients of , , and the numbers in algebra. A clean room makes it easier to find what you need, just like a simplified expression makes calculations easier.
When tackling polynomial expressions, a common mistake is forgetting to distribute the subtraction properly. Always double-check that you’ve accounted for every term, as missing a negative sign can lead you to the wrong answer. It’s like trying to make a sandwich without remembering to include the bread!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy