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:
 (−2k3−7k2+5k)
 (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.

Identify like terms:
 k3 terms: 2k3
 k2 terms: 7k2 and 6k2
 k terms: 5k and 3k

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

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.