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Simplify

((x^-1) - x) / (8x^8 + 8x^7)

asked Dec 22, 2017 in ALGEBRA 2 by anonymous
reshown Dec 22, 2017 by bradely

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1 Answer

[(x^-1) - x] / (8x^8 + 8x^7) = [(1/x) - x ] / [ 8x^7(x + 1) ]

= [ (1 - x^2) / x ] / [ 8x^7(x + 1) ]

= [ (1 - x)(1 + x) ] / [ 8x^8(x + 1) ]

= (1 - x) / 8x^8

Hence,

[(x^-1) - x] / (8x^8 + 8x^7) = (1 - x) / 8x^8

answered Dec 22, 2017 by homeworkhelp Mentor

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