(-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:

\[ 36m^2 + 12mn + n^2 \]