section+12.2-12.4+-+simplifying+opposites

__Review__ 3+4=7 (x+4) / (4+x) = 1 4+3=7

__*5-2 = 3
 * 2-5 = -3


 * 3 / -3 = -1
 * y-3 / 3-y = -1__

__* When canceling opposites, you have to include a "-1" after you cancel *__
__EX:__ simplify

3x^ 2 – 27 / 3x - x^ 2 = 3(x^ 2 – 9) / x(3 – x) = (-1)3 (x + 3) (x – 3) / x(3 – x) final answer: -3(x + 3) / x

__EX:__

[9 – 4x^2 / x^2 – 16] [x^2 + 6x + 8 / 4x – 6] [(3 + 2x) / (x – 4)] [(x + 2) / 2] final answer: [-(3 + 2x) (x + 2)] / [2(x – 4)]