SOLUTION: {{{4/(x-4) - (x+2)/(16-x^2) + (4x-5)/(16+8x+x^2)}}}

Algebra ->  Algebra  -> Equations -> SOLUTION: {{{4/(x-4) - (x+2)/(16-x^2) + (4x-5)/(16+8x+x^2)}}}      Log On

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Question 122315: 4%2F%28x-4%29+-+%28x%2B2%29%2F%2816-x%5E2%29+%2B+%284x-5%29%2F%2816%2B8x%2Bx%5E2%29
Answer by algebrapro18(206) About Me  (Show Source):
You can put this solution on YOUR website!
4%2F%28x-4%29+-+%28x%2B2%29%2F%2816-x%5E2%29+%2B+%284x-5%29%2F%2816%2B8x%2Bx%5E2%29 --> factor the denominators
4%2F%28x-4%29+-+%28x%2B2%29%2F%28-x-4%29%28x-4%29%29+%2B+%284x-5%29%2F%28x%2B4%29%5E2 --> Multiply by common factors
--> foil out
--> reorganize in descending order
--> combine like terms
--> Distribute the 4 and -1
--> reorganize in descending order
--> combine like terms
%28-9x%5E3-63x%5E2-160x-208%29%2F%28x-4%29%28-x-4%29%28x%2B4%29%5E2