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solving negative exponent simplification

x-2 -1/x-1

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Andy Z. | Economics and Math TutorEconomics and Math Tutor
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x-2 - 1/x - 1 ______ given

= (1/x2) - (1/x) - (1) ______ x-2 can be written as 1/x2 and use parentheses to separate each term

= (1/x2) - (x/x2) - (x2/x2) ______ LCD is x2

= (1-x-x2)/(x2) ______ combine terms into single fraction

= (-x2-x+1)/(x2) ______ rearrange terms in the numerator in descending order

= - (x2+x-1)/(x2) ______ factor -1 outside of the fraction [ANSWER]