The expression [\frac{1}{1−x}\: + \: {3−5x^{2}}/{1−x^{3}}−\frac{4\: + \:5x}{1\: + \:x\: + \:x^{2}}] \times {x^{3}−1}/{2x^{2}}, where x > 1, is equal to:

AAI ATC Junior Executive 2016 Shift 1 Paper

Question : 35 of 120

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The expression

[\;{1}/{1−x}\: + \:\;{3−5x^{2}}/{1−x^{3}}−\;{4\: + \:5x}/{1\: + \:x\: + \:x^{2}}] × \;{x^{3}−1}/{2x^{2}},

where x > 1, is equal to:

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