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