(4n-3n^3)-(3n^3+4n)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (4n - 3n³) - (3n³ + 4n)

This article will guide you through the process of simplifying the expression (4n - 3n³) - (3n³ + 4n).

Understanding the Expression

The expression consists of two sets of terms enclosed in parentheses. Let's break down each set:

• (4n - 3n³): This set contains two terms:

  • 4n: A term with a coefficient of 4 and variable 'n' raised to the power of 1.
  • -3n³: A term with a coefficient of -3 and variable 'n' raised to the power of 3.

• (3n³ + 4n): This set also contains two terms:

  • 3n³: A term with a coefficient of 3 and variable 'n' raised to the power of 3.
  • 4n: A term with a coefficient of 4 and variable 'n' raised to the power of 1.

Simplifying the Expression

1. Distribute the negative sign: The minus sign before the second set of parentheses indicates subtraction. We need to distribute this negative sign to each term within the second set:

   (4n - 3n³) - (3n³ + 4n) = 4n - 3n³ - 3n³ - 4n

2. Combine like terms: Now, we combine the terms that have the same variable and exponent:

   (4n - 4n) + (-3n³ - 3n³) = -6n³

Final Result

The simplified form of the expression (4n - 3n³) - (3n³ + 4n) is -6n³.