Express in simplest form: 1 - 1/x  /  1/x^2 - 1/x A) x B) -x C)1/x D) -1/x 

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jeew-m | College Teacher | (Level 1) Educator Emeritus

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`(1-1/x)/(1/x^2 - 1/x)`

`= ((x-1)/x)/((1-x)/x^2)`   By getting the common denominator

`= (-(1-x)*x^2)/((1-x)x)`

`= -x^2/x`

`= -x`

 

So the correect answer is B).

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