(-6m-n)²

To expand the expression \((-6m - n)^2\), you can use the formula for the square of a binomial, which is \((a + b)^2 = a^2 + 2ab + b^2\). First, we identify \(a\) and \(b\) in your expression: Let \(a = -6m\) and \(b = -n\). Now, applying the formula: \[ (-6m - n)^2 = (-6m)^2 + 2(-6m)(-n) + (-n)^2 \] Calculating each term: 1. \((-6m)^2 = 36m^2\) 2. \(2(-6m)(-n) = 12mn\) 3. \((-n)^2 = n^2\) Now combine these results: \[ (-6m - n)^2 = 36m^2 + 12mn + n^2 \] So, the expanded form of \((-6m - n)^2\) is: \[ 36m^2 + 12mn + n^2 \]