# SOLUTION: k + 4 + k^2 -5k + 8 ------- ------ --------------- = k + 1 1 - k k^2 -1

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 Algebra: Evaluation of expressions, parentheses Solvers Lessons Answers archive Quiz In Depth

 Question 636615: k + 4 + k^2 -5k + 8 ------- ------ --------------- = k + 1 1 - k k^2 -1Answer by stanbon(57246)   (Show Source): You can put this solution on YOUR website!k 4 k^2 -5k + 8 ------- + ------ + ------------ k + 1 1 - k k^2 -1 ------------------------- Rewrite: k 4 k^2 -5k + 8 ------- - ------ + ------------ k + 1 k - 1 k^2 -1 lcm = (k^2-1) ----- Rewrite each fraction with the lcm as its denominator: ------ [k(k-1) -4(k+1) +k^2-5k+8]/[k^2-1] ------ [k^2-k-4k-4+k^2-5k+8]/[k^2-1] ------ [2k^2-10k+8]/[k^2-1] ---- = [2(k^2-5k+4)]/[k^2-1] ----- = [2(k-4)(k-1)]/[(k+1)(k-1)] ----- = [2(k-4)]/[k+1] ===================== Cheers, Stan H. ====================