-(3n3%2B4n).jpeg "(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:
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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
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Combine like terms: We group terms with the same power of 'n' together.
(4n - 4n) + (-3n³ - 3n³)
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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.