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The given expression to expand is:

\[
4(2b - 1)(2b + 1)
\]

### Step-by-step solution:

1. **Expand the binomials** \((2b - 1)(2b + 1)\):
   This is a difference of squares because the terms have the same structure but different signs. Using the identity \((a - b)(a + b) = a^2 - b^2\):

   \[
   (2b - 1)(2b + 1) = (2b)^2 - (1)^2 = 4b^2 - 1
   \]

2. **Multiply the result by 4**:
   Now multiply the expanded expression by 4:

   \[
   4 \cdot (4b^2 - 1) = 16b^2 - 4
   \]

So, the expanded expression is:

\[
16b^2 - 4
\]

Would you like further details or have any questions?

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Here are 5 related questions for further exploration:
1. Can you factor \(16b^2 - 4\)?
2. What is the general rule for expanding the product of two binomials?
3. How does the difference of squares formula apply to other problems?
4. What happens if you change the signs in the binomials \(2b - 1\) and \(2b + 1\)?
5. How would you expand \(4(2b - 1)(2b + 2)\)?

**Tip**: When expanding expressions, always look for patterns like the difference of squares, which can simplify your calculations.

Learn how to expand the expression 4(2b - 1)(2b + 1) using the difference of squares formula. This algebraic problem covers core concepts like polynomial expansion and is suitable for students in Grades 8-10.

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