If you would like to calculate (3 x + 2)^2 - (2 x - 1)^2, you can do this using the following steps:
(3 x + 2)^2 - (2 x - 1)^2 =
9 x^2 + 12 x + 4 - (4 x^2 - 4 x + 1) =
9 x^2 + 12 x + 4 - 4 x^2 + 4 x - 1 =
5 x^2 + 16 x + 3
The result is 5 x^2 + 16 x + 3.