Understanding the Expression
To solve the expression 27p^3 - 1/2 - 9/2p^2 + 1/4p, we need to simplify and combine like terms.
Step 1: Identify Terms
- The expression consists of:
- 27p^3 (cubic term)
- -1/2 (constant term)
- -9/2p^2 (quadratic term)
- 1/4p (linear term)
Step 2: Combine Like Terms
- We can only combine terms that have the same degree:
- The cubic term stands alone: 27p^3
- The quadratic term is: -9/2p^2
- The linear term is: 1/4p
- The constant term is: -1/2
Step 3: Write the Simplified Expression
- After organizing the terms, we write the expression as:
- 27p^3 - 9/2p^2 + 1/4p - 1/2
Final Result
- The final simplified expression is:
- 27p^3 - 9/2p^2 + 1/4p - 1/2
Conclusion
- This expression is now in its simplest form, with all like terms combined. Each term is clearly identified by its degree, which helps in further calculations or evaluations.
Feel free to explore more about polynomial expressions and their simplification on platforms like EduRev for better understanding and practice!