Jasonbradley
Home

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

2 min read Jun 16, 2024
(4n-3n3)-(3n3+4n)

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

This expression involves combining terms with different powers of the variable 'n'. To simplify it, we can follow these steps:

  1. Distribute the negative sign: The minus sign before the second set of parentheses means we multiply each term inside by -1.

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

  2. Combine like terms: We group terms with the same power of 'n' together.

    (4n - 4n) + (-3n³ - 3n³)

  3. Simplify: Perform the addition and subtraction operations.

    -6n³

Therefore, the simplified expression is -6n³.

Key Points:

  • Order of Operations: Remember to follow the order of operations (PEMDAS/BODMAS) when simplifying expressions.
  • Like Terms: Terms with the same variable and exponent are considered like terms and can be combined.
  • Distributing Negatives: When distributing a negative sign, remember to multiply each term inside the parentheses by -1.

By following these steps, we can effectively simplify complex algebraic expressions.

Related Post

Featured Posts