1. The problem asks to explain how the term $4x$ appears in the second step when expanding $(x - 2)^2$. 2. The expression $(x - 2)^2$ means $(x - 2)(x - 2)$. 3. To expand, use the distributive property (FOIL method): $$ (x - 2)(x - 2) = x \cdot x - x \cdot 2 - 2 \cdot x + (-2) \cdot (-2) $$ 4. Calculate each term: - $x \cdot x = x^2$ - $-x \cdot 2 = -2x$ - $-2 \cdot x = -2x$ - $-2 \cdot -2 = 4$ 5. Combine like terms $-2x$ and $-2x$: $$ -2x - 2x = -4x $$ 6. So the full expansion is: $$ x^2 - 4x + 4 $$ 7. Therefore, the $4x$ in the second step comes from adding $-2x$ and $-2x$ together, resulting in $-4x$. This is why the second step shows $x^2 - 4x + 4$ after expanding $(x - 2)^2$.