Pregunta
Perform the operation. \( \left(7 x^{2}-4\right)-\left(3 x^{2}-5 x+1\right)= \)
Ask by Lyons Peters. in the United States
Jan 28,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( 4x^{2} + 5x - 5 \)
Solución
To perform the operation \( \left(7 x^{2}-4\right)-\left(3 x^{2}-5 x+1\right) \), let's follow these steps:
1. **Distribute the Negative Sign:**
When subtracting the second polynomial, distribute the negative sign to each term inside the parentheses:
\[
7x^{2} - 4 - 3x^{2} + 5x - 1
\]
2. **Combine Like Terms:**
- **Combine \( x^{2} \) terms:**
\[
7x^{2} - 3x^{2} = 4x^{2}
\]
- **Combine \( x \) terms:**
\[
5x \quad (\text{Only one } x \text{ term})
\]
- **Combine constant terms:**
\[
-4 - 1 = -5
\]
3. **Write the Simplified Expression:**
Putting it all together:
\[
4x^{2} + 5x - 5
\]
**Final Answer:**
\[
\boxed{4x^{2} + 5x -5}
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución Bonus Knowledge
To perform the operation, we need to distribute the negative sign across the second expression and then combine like terms. Starting with the original equation: \[ (7x^2 - 4) - (3x^2 - 5x + 1) \] Distributing the negative sign gives: \[ 7x^2 - 4 - 3x^2 + 5x - 1 \] Now, combine like terms: 1. For \(x^2\) terms: \(7x^2 - 3x^2 = 4x^2\) 2. For \(x\) terms: \(5x\) (only one term) 3. For constant terms: \(-4 - 1 = -5\) Putting it all together, we get: \[ 4x^2 + 5x - 5 \] So the final result is: \[ 4x^2 + 5x - 5 \]
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
