# How do you find the product (12t-5)(12t+5)?

Apr 22, 2017

See below.

#### Explanation:

This is in the form $\left(a - b\right) \left(a + b\right)$, an identity that is equivalent to ${a}^{2} - {b}^{2}$ (by expansion).

So,

$\left(12 t - 5\right) \left(12 t + 5\right) = 144 {t}^{2} - 25$.

To see how this occurs, we can FOIL.

$\left(12 t - 5\right) \left(12 t + 5\right) = 144 {t}^{2} + 60 t - 60 t - 25 = 144 {t}^{2} - 25$