Pregunta
Use your result from the previous task to find the sum. \( 6 a b^{2} \) \( 3 a b+3 b^{2} \) \( \left.b^{2}\right)-6 a^{2}+3 a b+3 b^{2} \) \( -6 a^{2}-13 a b+3 b^{2} \) DONE
Ask by Malone Erickson. in the United States
Feb 06,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The sum of the expressions is \( -6a^{2} - 13ab + 3b^{2} \).
Solución
Based on the expressions you've provided, let's verify the sum step by step:
1. **First Expression:**
\[
6 a b^{2}
\]
2. **Second Expression:**
\[
3 a b + 3 b^{2}
\]
3. **Third Expression:**
\[
-6 a^{2} + 3 a b + 3 b^{2}
\]
4. **Final Sum:**
\[
-6 a^{2} - 13 a b + 3 b^{2}
\]
**Summing All Expressions:**
Let's add them all together:
\[
6 a b^{2} + (3 a b + 3 b^{2}) + (-6 a^{2} + 3 a b + 3 b^{2}) = -6 a^{2} - 13 a b + 3 b^{2}
\]
**Final Result:**
\[
-6 a^{2} - 13 a b + 3 b^{2}
\]
If you have any further questions or need additional assistance, feel free to ask!
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución The Deep Dive
To find the sum of the given expressions, first, we combine them step by step: 1. \(6ab^2\) 2. \(3ab + 3b^2\) 3. \(b^2 - 6a^2 + 3ab + 3b^2\) 4. \(-6a^2 - 13ab + 3b^2\) Now let's add them together: Combine all like terms: - Terms involving \(a^2\): \(-6a^2 - 6a^2 = -12a^2\) - Terms involving \(ab\): \(6ab^2 + 3ab + 3ab - 13ab = -1ab\) - Terms involving \(b^2\): \(6ab^2 + 3b^2 + 3b^2 + b^2 = 13b^2\) Putting it all together, the sum is: \(-12a^2 - ab + 13b^2\) And that's your final combined expression.
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