Question
For each expression, simpilify if possitile. If applicable, click on "Camnot be simplifiet". \[ \frac{v+2}{-v+2}=\square \] \( \frac{5 v+3}{3 v+8}=\square \)
Ask by Marshall Bowers. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Simplify the expressions:
1. \( \frac{v+2}{-v+2} = -1 + \frac{4}{-v+2} \)
2. \( \frac{5v+3}{3v+8} = \frac{5}{3} + \frac{-\frac{31}{3}}{3v+8} \)
Solution
Calculate or simplify the expression \( \frac{v+2}{-v+2} \).
Divide the polynomials by following steps:
- step0: Using Long Division to Divide Polynomials:
\(\frac{v+2}{-v+2}\)
- step1: Calculate:
\(-1+\frac{4}{-v+2}\)
Calculate or simplify the expression \( \frac{5v+3}{3v+8} \).
Divide the polynomials by following steps:
- step0: Using Long Division to Divide Polynomials:
\(\frac{5v+3}{3v+8}\)
- step1: Calculate:
\(\frac{5}{3}+\frac{-\frac{31}{3}}{3v+8}\)
The simplified expressions are:
1. \( \frac{v+2}{-v+2} = -1 + \frac{4}{-v+2} \)
2. \( \frac{5v+3}{3v+8} = \frac{5}{3} + \frac{-\frac{31}{3}}{3v+8} \)
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Simplify this solution The Deep Dive
For the first expression \(\frac{v+2}{-v+2}\), this simplifies to \(-\frac{v+2}{v-2}\). Just flip the sign of the bottom part while keeping the top part unchanged! Now, for the second expression \(\frac{5v+3}{3v+8}\), it doesn’t simplify further since there are no common factors or special patterns among the numerator and denominator. Sometimes, an expression is just content being as is!
