(5+5n3)-(1-3n3)

less than a minute read Jun 16, 2024
(5+5n3)-(1-3n3)

Simplifying the Expression (5 + 5n^3) - (1 - 3n^3)

This article will guide you through the process of simplifying the expression (5 + 5n^3) - (1 - 3n^3).

Understanding the Expression

The expression involves combining terms with different powers of n. We have:

  • Constant terms: 5 and -1
  • Terms with n^3: 5n^3 and 3n^3

Simplifying the Expression

  1. Distribute the negative sign: The minus sign in front of the second parenthesis needs to be distributed to both terms inside. This gives us:

    (5 + 5n^3) - 1 + 3n^3

  2. Combine like terms: Combine the constant terms (5 and -1) and the terms with n^3 (5n^3 and 3n^3):

    (5 - 1) + (5n^3 + 3n^3)

  3. Simplify:

    4 + 8n^3

Final Answer

The simplified form of the expression (5 + 5n^3) - (1 - 3n^3) is 4 + 8n^3.

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