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Anonymous
x2 - x - 30 = (x - 6)(x + 5)
The trick is to look for 2 numbers which multiply together to give -30 and sum together to give -1. In this case -6 and 5.
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X3 X(X2) X2(X) and, X * X * X
(x+a) (x-a)
x2 - 4x - 32 = (x - 8)(x + 4)
(x-8)(x+8) = x2-64
x2-64 = (x-8)(x+8) when factored