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]
