Pregunta
\( ( 3 x ^ { 2 } - 5 ) + ( 7 x ^ { 2 } - 3 ) = \square x ^ { 2 } + \square \)
Ask by Peters Gordon. in the United States
Mar 11,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( 10x^2 - 8 \)
Solución
1. Combine like terms for the \( x^2 \) terms:
\[
3x^2 + 7x^2 = 10x^2
\]
2. Combine the constant terms:
\[
-5 - 3 = -8
\]
3. Write the simplified expression:
\[
(3x^2 - 5) + (7x^2 - 3) = 10x^2 - 8
\]
Thus, the expression is \( 10x^2 - 8 \).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Bonus Knowledge
When you combine like terms in the given expression, you'll first focus on the \(x^2\) terms. You have \(3x^2\) and \(7x^2\), which add up to \(10x^2\). Then, looking at the constant terms, \(-5\) and \(-3\) combine to give \(-8\). So, the complete expression simplifies to \(10x^2 - 8\) or \(10x^2 + (-8)\). Therefore, \(\square x^{2} + \square\) will have \(\square = 10\) and \(\square = -8\)!

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