SOLUTION: 1 x+4 ------ - ---- x^2-16 x^2-3x-4

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: 1 x+4 ------ - ---- x^2-16 x^2-3x-4      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Question 294017: 1 x+4 ------ - ---- x^2-16 x^2-3x-4Answer by stanbon(57250)   (Show Source): You can put this solution on YOUR website!1 x+4 ------ - ---- x^2-16 x^2-3x-4 ======================== Factor the denominators: ============================= 1/[(x-4)(x+4)] - (x+4)/[(x-4)(x+1)] ---- lcd = (x+1)(x-4)(x+4) ==== Rewrite each fraction with the lcd as its denominator: (x+1)/lcd - (x+4)^2/lcd ============================ Combine the numerators over the lcd: [x+1 - (x+4)^2]/lcd ----- Simplify the numerator: [x+1 -x^2 - 8x - 16]/lcd --- Rearrange: [-(x^2 +7x + 15)]/[(x+1)(x^2-16)] ------------------------------------------------ Cheers, Stan H.