Simplifying (5+n)³
This expression involves expanding a binomial cubed. Here's how to simplify it:
Understanding the Expression
(5+n)³ means we're multiplying (5+n) by itself three times:
(5+n)³ = (5+n) * (5+n) * (5+n)
Expanding the Expression
To simplify, we can use the distributive property and FOIL method:

First, expand the first two factors: (5+n) * (5+n) = 25 + 5n + 5n + n² = 25 + 10n + n²

Then, multiply the result by the third factor (5+n): (25 + 10n + n²) * (5+n) = 125 + 50n + 5n² + 25n + 10n² + n³

Combine like terms: 125 + 75n + 15n² + n³
Simplified Expression
Therefore, the simplified expression of (5+n)³ is n³ + 15n² + 75n + 125.