(7x3 – 4x2) + (2x3 – 4x2)

Jasonbradley

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Jun 16, 2024

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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:

1. Identify like terms: In the given expression, we have two sets of like terms:

   • 7x³ and 2x³
   • -4x² and -4x²

2. Combine coefficients: Add the coefficients of like terms while keeping the variable and exponent the same.

   • 7x³ + 2x³ = 9x³
   • -4x² - 4x² = -8x²

3. 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.