To simplify \((3x - 2)^2\), we first expand it using the formula \((a - b)^2 = a^2 - 2ab + b^2\).
Here, \(a = 3x\) and \(b = 2\).
- Calculate \(a^2 = (3x)^2 = 9x^2\).
- Calculate \(-2ab = -2(3x)(2) = -12x\).
- Calculate \(b^2 = (2)^2 = 4\).
Now combine these results:
\[ (3x - 2)^2 = 9x^2 - 12x + 4 \]
Thus, we have:
- First expand to: \( (3x - 2)(3x - 2) \)
- The product is: \( 9x^2 - 12x + 4 \)