
                           Review of Factoring
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You MUST have all the following information at your fingertips at all times.

            You have NO CHANCE of passing Calculus without it.
  
            
                            ax + ay   =   a(x + y)

                             2    2
                            a  - b    =   (a - b)(a + b)

                  2                  
                 x  + (a + b)x + ab   =   (x + a) (x + b) 

                       2          2               2
                      x  + 2ax + a    =    (x + a)

                            3    3                  2         2
                           a  - b     =   (a - b) (a  + ab + b )

Notice, in this last identity, what happens if "b" is replaced by "-b".


┌─────────────────┐
│ Common Mistakes │
└─────────────────┘

           2    2             2                  2    2
WRONG     x  - y    =  (x - y)          RIGHT   x  - y    =  (x - y)(x + y)



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