Posted by Allison Anderson on Thursday, December 1, 2011 at 10:00am.
If what you typed means
(x-5)/(x-7) - (x-1)/(x+7) + (x-35)/(x^2-49) then
put everything over a common denominator. In this case, since x^2 - 49 = (x-7)(x+7) that will be our LCD.
The numerator will then be:
(x-5)(x+7) - (x-1)(x-7) + (x-35)
= x^2 + 2x - 35 - (x^2 - 8x + 7) + (x - 35)
= (11x - 77)
= 11(x-7)
Put that over (x-7)(x+7) and you have
11(x-7) / (x-7)(x+7)
= 11/(x+7)
You need to clarify your formula by spacing and/or parentheses.
x - 5/x - 7 - x - 1/x + 7 + x - 35/x^2 - 49 (?)
x - 5/(x-7) - x - 1/(x-7) + x 35/(x^2-49) (?)
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