(4m^4-m^2)+(5m^2+m^4)

Jasonbradley

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Jun 16, 2024

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Simplifying Polynomial Expressions: (4m^4 - m^2) + (5m^2 + m^4)

This article will guide you through simplifying the polynomial expression: (4m^4 - m^2) + (5m^2 + m^4).

Understanding the Process

Simplifying polynomial expressions involves combining like terms. Like terms are terms that have the same variable and the same exponent.

Step-by-Step Solution

1. Identify like terms:

   • 4m^4 and m^4 are like terms.
   • -m^2 and 5m^2 are like terms.

2. Combine like terms:

   • 4m^4 + m^4 = 5m^4
   • -m^2 + 5m^2 = 4m^2

3. Write the simplified expression:

   • 5m^4 + 4m^2

Final Answer

The simplified form of the polynomial expression (4m^4 - m^2) + (5m^2 + m^4) is 5m^4 + 4m^2.