(-12t+7b)^2

To expand the expression \((-12t + 7b)^2\), you can use the formula for the square of a binomial, which is \((a + b)^2 = a^2 + 2ab + b^2\).

Here, \(a = -12t\) and \(b = 7b\).

1. Calculate \(a^2\): \[ (-12t)^2 = 144t^2 \]

2. Calculate \(b^2\): \[ (7b)^2 = 49b^2 \]

3. Calculate \(2ab\): \[ 2(-12t)(7b) = -168tb \]

Now, combine these results:

\[ (-12t + 7b)^2 = 144t^2 - 168tb + 49b^2 \]

So, the expanded form of \((-12t + 7b)^2\) is:

\[ 144t^2 - 168tb + 49b^2 \]