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Alize Kuhn

Feb 20, 2025

Simplify the following complex fraction::?

n-6——-n^2+11n+24——————–n+1——n+3
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Lavinia Carroll

Feb 20, 2025

[(n – 6) / (n^2 + 11n + 24)] / [(n + 1) / (n + 3)]Factor “n^2 + 11n + 24” to get (n + 3)(n + 8). Now we have:[(n – 6) / ((n + 3)(n + 8))] / [(n + 1) / (n + 3)]Multiply by the reciprocal of the denominator.[(n – 6) / ((n + 3)(n + 8))] * [(n + 3) / (n + 1)]The (n + 3) terms cancel, so you are left with:[(n – 6) / (n + 8)] * [1 / (n + 1)] = (n – 6) / [(n + 8)(n + 1)]Solution: (n – 6) / [(n + 8)(n + 1)]orn – 6——————-(n + 8)(n + 1)... Show More
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