To expand $b(5 - 2b)$, distribute $b$ to both terms inside the parentheses:

$b \cdot 5 - b \cdot 2b$

This simplifies to:

$5b - 2b^2$

So, the correct answer is:

$5b - 2b^2$ (the last option).

Would you like a deeper explanation of the steps involved?

Here are 5 related questions:

1. How would you expand an expression like $b(a - c)$ in general?
2. What would be the result of expanding $3b(4 - b)$?
3. How do you identify terms to distribute when expanding?
4. Can you rewrite $5b - 2b^2$ in a different form?
5. What happens if you have multiple variables, like expanding $x(y - z)$?

Tip: Always remember to apply the distributive property by multiplying each term individually within the parentheses.