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Popular >

simplify x-1+1/(x-1)

Solution

simplify

x - 1 + \frac{1}{x - 1}

Solution

\frac{x ^{2} - 2 x + 2}{x - 1}

Solution steps

x - 1 + \frac{1}{x - 1}

Convert

x

to fraction

: \frac{x ( x - 1 )}{x - 1}

Convert

1

to fraction

: \frac{x - 1}{x - 1}

= \frac{x ( x - 1 )}{x - 1} - \frac{x - 1}{x - 1} + \frac{1}{x - 1}

Apply the fraction rule:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{x ( x - 1 ) - ( x - 1 ) + 1}{x - 1}

Simplify

x (x - 1) - (x - 1) + 1 : x^{2} - 2 x + 2

= \frac{x ^{2} - 2 x + 2}{x - 1}

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Frequently Asked Questions (FAQ)

What is x-1+1/(x-1) ?
The solution to x-1+1/(x-1) is (x^2-2x+2)/(x-1)