(-6m-n)²

To expand \((-6m - n)^2\), you can use the formula for the square of a binomial, which states that \((a - b)^2 = a^2 - 2ab + b^2\). In this case, let \(a = -6m\) and \(b = n\). Now, apply the formula: \[ (-6m - n)^2 = (-6m)^2 - 2(-6m)(n) + n^2 \] Calculate each term: 1. \((-6m)^2 = 36m^2\) 2. \(-2(-6m)(n) = 12mn\) 3. \(n^2\) Putting it all together: \[ (-6m - n)^2 = 36m^2 + 12mn + n^2 \] Thus, the expanded form is: \[ 36m^2 + 12mn + n^2 \]