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

less than a minute read Jun 16, 2024
(4m^4-m^2)+(5m^2+m^4)

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.

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