Pregunta
Simplify the following expressi \( -12 x^{2}+5 x-3 x^{2}+9 \)
Ask by Vega Pope. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The simplified expression is \(-15x^2 + 5x + 9\).
Solución
1. Rewrite the expression:
\[
-12x^2 + 5x - 3x^2 + 9
\]
2. Combine like terms. Notice that the terms \(-12x^2\) and \(-3x^2\) are like terms:
\[
-12x^2 - 3x^2 = -15x^2
\]
3. The \(x\)-term and the constant remain unchanged:
\[
5x \text{ and } 9
\]
4. Write the simplified expression:
\[
-15x^2 + 5x + 9
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
Let's combine like terms in the expression \( -12x^{2} + 5x - 3x^{2} + 9 \). First, we gather the \(x^{2}\) terms: \(-12x^{2} - 3x^{2} = -15x^{2}\). Next, the \(x\) term is simply \(5x\) since there are no other \(x\) terms. Lastly, the constant terms add up to \(9\). Putting it all together, the simplified expression is \( -15x^{2} + 5x + 9 \).

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