(x-3)²

The expression \((x - 3)^2\) is a square of a binomial. To expand it, you can use the formula \((a - b)^2 = a^2 - 2ab + b^2\), where \(a = x\) and \(b = 3\).

Here's the step-by-step expansion:

\[ (x - 3)^2 = x^2 - 2(x)(3) + 3^2 \]

Calculating each term:

1. \(x^2\) remains \(x^2\).
2. \(-2(x)(3) = -6x\).
3. \(3^2 = 9\).

Putting it all together:

\[ (x - 3)^2 = x^2 - 6x + 9 \]

So, the expanded form of \((x - 3)^2\) is:

\[ x^2 - 6x + 9 \]