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