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