Let's simplify the expression $(6n - 5)(n + 4)$ to determine which answer is correct.

We can use the distributive property (FOIL method) to expand the product:

$(6n - 5)(n + 4) = 6n(n) + 6n(4) - 5(n) - 5(4)$

Now calculate each term:

$6n(n) = 6n^2$ $6n(4) = 24n$ $-5(n) = -5n$ $-5(4) = -20$

Now, combine the like terms:

$6n^2 + 24n - 5n - 20 = 6n^2 + 19n - 20$

The simplified expression is $6n^2 + 19n - 20$, which corresponds to option K.

Would you like a more detailed explanation on any step?

Here are 5 related questions to explore:

1. What is the FOIL method, and how is it applied in polynomial multiplication?
2. How do you expand binomials using the distributive property?
3. Can you simplify the expression $(3n + 2)(n - 1)$ using the same technique?
4. What happens if you expand more complex polynomials, such as $(2x^2 + 3)(x + 4)$?
5. How would you factor a quadratic expression like $6n^2 + 19n - 20$?

Tip: Always combine like terms after expanding an expression to ensure you have the simplest form.