Simplify (2x)^2

Problem

(2*x)^2

Solution

1. Identify the power of a product rule, which states that (a*b)^n=a^n*b^n

2. Apply the rule by squaring both the numerical coefficient and the variable inside the parentheses.

3. Calculate the square of the coefficient, 2^2=4

4. Combine the results to obtain the simplified expression.

Final Answer

(2*x)^2=4*x^2

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