Which products result in a difference of square or perfect square trinomial?
Form for Difference of Squaes: a2 - b2 = (a + b)(a - b)
Example: 4x2 - 9 = (2x + 3)(2x - 3)
Form for Perfect Square Binomial: a2 + 2ab + b2 = (a + b)2 = (a + b)(a + b)
or: a2 - 2ab + b2 = (a +- b)2 = (a - b)(a - b)
Examples: x2 - 8x + 16 = (x - 4)2 = (x - 4)(x - 4)
9x2 + 12x + 4 = (3x + 2)2 = (3x + 2)(3x + 2)