Question
Divide. \( \frac{31 y^{3}+12 y^{2}}{4 y^{2}} \)
Ask by Mann Harmon. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplified expression is \( \frac{31y + 12}{4} \).
Solution
Calculate or simplify the expression \( (31*y^3+12*y^2)/(4*y^2) \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{\left(31y^{3}+12y^{2}\right)}{4y^{2}}\)
- step1: Remove the parentheses:
\(\frac{31y^{3}+12y^{2}}{4y^{2}}\)
- step2: Reduce the fraction:
\(\frac{31y+12}{4}\)
The result of dividing \(31y^{3}+12y^{2}\) by \(4y^{2}\) is \(\frac{31y+12}{4}\).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To divide \( \frac{31 y^{3}+12 y^{2}}{4 y^{2}} \), you can split the fraction into two parts: \[ \frac{31 y^{3}}{4 y^{2}} + \frac{12 y^{2}}{4 y^{2}}. \] Now simplify each part. For the first part: \[ \frac{31 y^{3}}{4 y^{2}} = \frac{31}{4} y^{3-2} = \frac{31}{4} y. \] For the second part: \[ \frac{12 y^{2}}{4 y^{2}} = \frac{12}{4} = 3. \] Putting it all together, we have: \[ \frac{31 y^{3}+12 y^{2}}{4 y^{2}} = \frac{31}{4} y + 3. \] So, the final simplified expression is: \[ \frac{31}{4} y + 3. \]
