To solve \((2x)^2\), follow these steps:

1. **Apply the power rule**: The expression \((2x)^2\) means squaring both the coefficient \(2\) and the variable \(x\).

2. **Square the terms**:
   \[
   (2x)^2 = 2^2 \times x^2 = 4x^2
   \]

Thus, \((2x)^2 = 4x^2\).

Would you like more details on any step or have any questions?

Here are 5 related questions for further exploration:
1. How do you simplify \((3x + 5)^2\)?
2. What happens when squaring a binomial like \((x - 4)^2\)?
3. How do you expand \((2x + 3y)^2\)?
4. What is the difference between squaring a term and raising it to another power?
5. Can you solve \((2x)^3\) and explain the difference in the process?

**Tip:** When squaring a product like \((2x)\), remember to square both the number and the variable!

Learn how to solve the algebraic expression (2x)^2 with a step-by-step explanation. This tutorial covers the application of the power rule to square both the coefficient and variable. Suitable for middle school students in Grades 6-8.

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