Expand (2x)² : Converting Product Square to Standard Form

Insert the corresponding expression:

$$$\left(2\times x\right)^2=$

To solve the expression $(2 \times x)^2$, we'll follow these steps:

• Step 1: Identify the base of the exponent, which is the product $2 \times x$.
• Step 2: Apply the Power of a Product rule, which states that $(ab)^n = a^n \times b^n$.
• Step 3: Distribute the exponent to both factors within the parentheses:

$(2 \times x)^2 = 2^2 \times x^2$

Calculating $2^2$ gives:

$2^2 = 4$

So, the expression simplifies to:

$4 \times x^2$

Therefore, the correct expression is $2^2 \times x^2$.

This corresponds to Choice 2.