Simplifying Polynomial Expressions: (7x³ – 4x²) + (2x³ – 4x²)
This article will guide you through the process of simplifying the polynomial expression (7x³ – 4x²) + (2x³ – 4x²).
Understanding the Basics
Before we begin, let's quickly review some key concepts:
 Polynomial: An expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication.
 Term: Each individual part of a polynomial separated by addition or subtraction.
 Like terms: Terms with the same variable and exponent.
Combining Like Terms
To simplify the expression, we'll combine like terms:

Identify like terms: In the given expression, we have two sets of like terms:
 7x³ and 2x³
 4x² and 4x²

Combine coefficients: Add the coefficients of like terms while keeping the variable and exponent the same.
 7x³ + 2x³ = 9x³
 4x²  4x² = 8x²

Write the simplified expression: The simplified expression is the sum of the combined like terms.
 (7x³ – 4x²) + (2x³ – 4x²) = 9x³  8x²
Conclusion
Therefore, the simplified form of the polynomial expression (7x³ – 4x²) + (2x³ – 4x²) is 9x³  8x². This process of combining like terms is a fundamental step in simplifying and manipulating polynomial expressions.