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The given mathematical expression is \((2a + b)^4 \div (2a + b)^2\).

To simplify this expression, we use the property of exponents: \(\frac{a^m}{a^n} = a^{m-n}\).

\[
\frac{(2a + b)^4}{(2a + b)^2} = (2a + b)^{4-2} = (2a + b)^2
\]

So, the simplified expression is \((2a + b)^2\).

Would you like further details or have any questions about this problem? 

Here are some more questions you might find interesting:
1. Simplify \((3x + 4)^5 \div (3x + 4)^2\).
2. Simplify \(\frac{y^6}{y^3}\).
3. Expand \((2a + b)^2\).
4. Solve for \(x\) in the equation \(x^2 - 4x + 4 = 0\).
5. Find the derivative of \(f(x) = 3x^3 + 2x - 5\).

**Tip:** When simplifying expressions with the same base, remember to subtract the exponents when dividing.

Learn how to simplify the expression (2a + b)^4 / (2a + b)^2 using exponentiation rules. This problem involves basic algebraic manipulation and is suitable for high school students. Get a detailed step-by-step solution and related practice problems.

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