The document presents formulas for squaring binomial expressions of the forms (a ± b)2, (a - b)(a + b), and their applications. It shows that (a ± b)2 = a2 ± 2ab + b2, (a - b)(a + b) = a2 - b2, and works through examples like (3x + 5)2 = 9x2 + 30x + 25 and (3x - 5)(3x + 5) = 9x2 - 25.