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

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

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)

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