Question
c) For polynomials \( p, q \), and \( r \), where \( (q \neq 0 \) and \( r \neq 0), \frac{p r}{q r} \) simplifies to
Ask by Howell Ross. in the United States
Mar 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(\frac{p r}{q r}\) simplifies to \(\frac{p}{q}\).
Solution
To simplify the expression \(\frac{p r}{q r}\), we can follow these steps:
1. **Identify the common factors**: In the expression \(\frac{p r}{q r}\), both the numerator and the denominator have a common factor of \(r\).
2. **Cancel the common factor**: Since \(r \neq 0\), we can safely cancel \(r\) from both the numerator and the denominator.
Thus, we have:
\[
\frac{p r}{q r} = \frac{p}{q}
\]
Therefore, the simplified form of \(\frac{p r}{q r}\) is \(\frac{p}{q}\).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg


Bonus Knowledge
When you have the expression \(\frac{p r}{q r}\), you can simplify it by recognizing that the \(r\) in the numerator and the denominator can cancel out, provided \(r \neq 0\). This leaves you with: \[ \frac{p r}{q r} = \frac{p}{q} \] So as long as \(q\) is also not zero ( \(q \neq 0\) ), the expression simplifies beautifully to \(\frac{p}{q}\). Simple, right? But remember, always double-check that neither \(q\) nor \(r\) is zero before going through the swish of cancellation, or you might find yourself in a mathematical mess!