Pregunta
Combine like terms to simplify the expression. \( 7 z^{5}+4-z^{5} \)
Ask by George Simmons. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
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The simplified expression is \( 6z^{5} + 4 \).
Solución
To simplify the expression \( 7 z^{5} + 4 - z^{5} \) by combining like terms, follow these steps:
1. **Identify Like Terms**:
- The terms \( 7 z^{5} \) and \( -z^{5} \) are like terms because they both contain \( z^{5} \).
- The term \( 4 \) is a constant and does not have any \( z \) terms, so it remains as is.
2. **Combine the Like Terms**:
- Add the coefficients of the like terms:
\[
7 z^{5} - z^{5} = (7 - 1) z^{5} = 6 z^{5}
\]
3. **Write the Simplified Expression**:
- Combine the result with the constant term:
\[
6 z^{5} + 4
\]
**Final Simplified Expression:**
\[
6 z^{5} + 4
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Bonus Knowledge
To simplify the expression \( 7z^{5} + 4 - z^{5} \), you start by combining the like terms \( 7z^{5} \) and \( -z^{5} \). When you do that, \( 7z^{5} - z^{5} = 6z^{5} \). So, the simplified expression becomes \( 6z^{5} + 4 \). It's like turning a cluttered room into a tidy space by organizing your furniture (or, in this case, your terms)! Next time you tackle an expression, look for those like terms first! It’s like hunting for hidden treasures – you’ll often find that simplifying makes things much clearer, and you can easily spot mistakes if you start with a neat, organized approach. Remember, the math jungle can be tricky!
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