a. \( (3 x-2)^{2} \)

When you have the expression \( (3x - 2)^2 \), think of it as a classic binomial expansion waiting to happen! You can apply the formula \( (a-b)^2 = a^2 - 2ab + b^2 \). Here, \( a = 3x \) and \( b = 2 \). So, squaring it gives you \( (3x)^2 - 2 \cdot (3x)(2) + 2^2 \), which simplifies to \( 9x^2 - 12x + 4 \). Voilà! Now, if you're ever factoring this back or looking for roots, remember you could set \( 3x - 2 = 0 \) to find \( x = \frac{2}{3} \). This is not only helpful for graphing but also for understanding where the function crosses the x-axis. Keep that number in your pocket for calculus or optimization problems later!