Question
upstudy study bank question image url

\( \begin{aligned} & \frac{8 y-16 y^{2}}{6 y^{3}} \\ = & \text { Simplify }\end{aligned} \)

Ask by Morgan Bradley. in South Africa
Mar 15,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\[ \frac{4(1-2y)}{3y^2} \]

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

Bonus Knowledge

To simplify the expression \( \frac{8y - 16y^2}{6y^3} \), we can start by factoring the numerator. The numerator can be expressed as \( 8y(1 - 2y) \). So we rewrite the expression: \[ \frac{8y(1 - 2y)}{6y^3} \] Next, we can cancel the common factor of \( y \) from the numerator and denominator: \[ \frac{8(1 - 2y)}{6y^2} \] Now, we can simplify the constant fraction \( \frac{8}{6} \) to \( \frac{4}{3} \): \[ \frac{4(1 - 2y)}{3y^2} \] Thus, the simplified expression is: \[ \frac{4(1 - 2y)}{3y^2} \] Feel free to ask if you have more questions or need further assistance!

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