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\( (s-6)^2 = s^2 - 12s + 36 \)
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To expand the expression \((s-6)^{2}\), you can apply the formula for the square of a binomial, \((a-b)^{2} = a^{2} - 2ab + b^{2}\). Here, \(a = s\) and \(b = 6\). So, let's calculate it: \[ (s-6)^{2} = s^{2} - 2 \cdot s \cdot 6 + 6^{2} \] \[ = s^{2} - 12s + 36 \] The expanded form of \((s-6)^{2}\) is \(s^{2} - 12s + 36\).