Posted by Iz on Sunday, April 25, 2010 at 7:07pm.
When simplifying rational expressions you need to factor all the numerators & denominators (if possible):
x^2-x-12 --> (x-4)(x+3)
x^2-3x-4 --> (x-4)(x+1)
x^2-1 -----> (x+1)(x-1)
x^2+2x-3 --> (x+3)(x-1)
Therefore you will have:
(x-4)(x+3)*(x+1)(x-1)
(x-4)(x+1) (x+3)(x-1)
You can then cancel out all common factors that appear on top and bottom. If you notice, for every factor on top, there is a match on the bottom. THus, everything cancels out leaving you with a final answer of 1!
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