Question
3. \( \frac{3 x^{2}}{3}-\frac{9 y^{2}}{3} \)
Ask by Chavez Salazar. in the United States
Mar 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \( x^2 - 3y^2 \).
Solution
1. Start with the expression:
\[
\frac{3x^2}{3} - \frac{9y^2}{3}
\]
2. Simplify each term by dividing the numerator by the denominator:
- For the first term:
\[
\frac{3x^2}{3} = x^2
\]
- For the second term:
\[
\frac{9y^2}{3} = 3y^2
\]
3. Substitute these back into the expression:
\[
x^2 - 3y^2
\]
Thus, the simplified expression is:
\[
x^2 - 3y^2
\]
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Simplify this solution Mind Expander
Let's simplify the expression step by step! First, you can factor out the common denominator, which is 3. So, the expression becomes \( \frac{3}{3}(x^{2}) - \frac{9}{3}(y^{2}) \). This simplifies to \( x^{2} - 3y^{2} \). Voila! You've got a clean expression that’s easier to work with. In algebra, recognizing common factors can make simplifications much quicker. Common mistakes include forgetting to simplify coefficients or over-complicating the process by skipping fundamental steps. Always double-check your factors and simplify where possible, and you’ll breeze through those algebra problems like a pro!
