Question
upstudy study bank question image url

A) \( (x-1)^{3} \)

Ask by Clark Bernard. in Brazil
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

A expansão de \( (x-1)^3 \) é \( x^3 - 3x^2 + 3x - 1 \).

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Beyond the Answer

Did you know that the expression \( (x-1)^{3} \) is a perfect example of polynomial expansion? When you expand it using the binomial theorem or simply by multiplying it out, you get \( x^3 - 3x^2 + 3x - 1 \). This polynomial has a significant role in calculus, especially when studying functions and their derivatives! When working with polynomial expressions like this, a common mistake is to ignore the signs while expanding. Be cautious with your algebra! It’s easy to confuse the coefficients, especially with negative signs. When you expand \( (x-1)^{3} \), double-check your calculations to avoid errors that can creep in during multiplication and addition.

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