Given the function $f(b) = (b + 6)(b - 2)$, you can expand it to find a simplified expression.

Let's expand it:

$f(b) = (b + 6)(b - 2)$

Use the distributive property (also known as the FOIL method for binomials):

$f(b) = b \cdot b + b \cdot (-2) + 6 \cdot b + 6 \cdot (-2)$

Simplifying each term:

$f(b) = b^2 - 2b + 6b - 12$

Combine like terms:

$f(b) = b^2 + 4b - 12$

So, the simplified form of the function is:

$f(b) = b^2 + 4b - 12$

Would you like further details or have any questions?

Here are some related questions:

1. How do you factorize a quadratic expression?
2. What is the vertex form of a quadratic function?
3. How do you find the roots of $f(b) = b^2 + 4b - 12$?
4. What is the significance of the discriminant in a quadratic equation?
5. How does the graph of $f(b) = b^2 + 4b - 12$ look?

Tip: When dealing with quadratic functions, always try to simplify the expression first to make further calculations easier.