(−2k3−7k2+5k)+(6k2+3k)=

Jasonbradley

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Jun 17, 2024

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Simplifying Algebraic Expressions: (−2k3−7k2+5k)+(6k2+3k)

This article will guide you through the process of simplifying the given algebraic expression: (−2k3−7k2+5k)+(6k2+3k).

Understanding the Expression

The expression consists of two parts:

1. (−2k3−7k2+5k)
2. (6k2+3k)

These parts are separated by a plus sign, indicating that we need to add them together.

Simplifying the Expression

To simplify the expression, we need to combine like terms. Like terms are terms that have the same variable raised to the same power.

1. Identify like terms:

   • k3 terms: -2k3
   • k2 terms: -7k2 and 6k2
   • k terms: 5k and 3k

2. Combine like terms:

   • k3 terms: -2k3 (no other k3 terms)
   • k2 terms: -7k2 + 6k2 = -k2
   • k terms: 5k + 3k = 8k

3. Write the simplified expression:

   The simplified expression is -2k3 - k2 + 8k.

Conclusion

By combining like terms, we have successfully simplified the expression (−2k3−7k2+5k)+(6k2+3k) to -2k3 - k2 + 8k. This process is crucial in algebra as it allows us to manipulate expressions into a simpler form for further calculations or analysis.