Answer :

Sure, let’s simplify the given expression step-by-step.

Given expression:

[tex]\[ 2x \cdot 2x \][/tex]

1. Start by recognizing that you are multiplying two terms together. The terms here are [tex]\( 2x \)[/tex] and [tex]\( 2x \)[/tex].

2. When you multiply two terms that include variables and coefficients, you multiply the coefficients together and then multiply the variables together separately.

Coefficients: [tex]\( 2 \)[/tex] and [tex]\( 2 \)[/tex]

Variables: [tex]\( x \)[/tex] and [tex]\( x \)[/tex]

3. Multiply the coefficients:

[tex]\[ 2 \cdot 2 = 4 \][/tex]

4. Multiply the variables:

[tex]\[ x \cdot x = x^2 \][/tex]

5. Combine the results of the coefficient and variable multiplications:

[tex]\[ 4 \cdot x^2 = 4x^2 \][/tex]

Therefore, the simplified expression is:

[tex]\[ 4x^2 \][/tex]