SOLUTION: How do I perform the indicated operations and simplify the following: w-4/w-9 � w+1/w+9 + w-99/w^2-81

Question 309768: How do I perform the indicated operations and simplify the following:
w-4/w-9 � w+1/w+9 + w-99/w^2-81

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(w-4)/(w-9) � (w+1)/(w+9) + (w-99)/(w^2-81)
I'm hoping this is what you mean.
Factor the right most denominator
(w-4)/(w-9) � (w+1)/(w+9) + (w-99)/(w+9)(w-9) find the common denominator.
[(w-4)(w+9)-(w+1)(w-9)+(w-99)]/(w+9)(w-9) combine like terms.
[w^2+5w-36-w^2+8w+9+w-99]/(w+9)(w-9)
[14w-126]/(w+9)(w-9) factor the numerator.
14(w-9)/(w+9)(w-9) cancel out the common (w-9) terms.
14/(w+9) ans.
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