Question

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

Answer 1

See below.

Explanation:

This is in the form `(a-b)(a+b)`, an identity that is equivalent to `a^2-b^2` (by expansion).

So,

`(12t-5)(12t+5)=144t^2-25`.

To see how this occurs, we can FOIL.

`(12t-5)(12t+5)=144t^2+60t-60t-25=144t^2-25`