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Popular >

simplify 1/(x-2)-1

Solution

simplify

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

Solution

\frac{- x + 3}{x - 2}

Solution steps

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

Apply the fraction rule:

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

= \frac{- 1 \cdot ( x - 2 ) + 1}{x - 2}

Apply rule:

1 \cdot a = a

- 1 \cdot (x - 2) = - (x - 2)

= \frac{- ( x - 2 ) + 1}{x - 2}

Simplify

- (x - 2) + 1 : - x + 3

= \frac{- x + 3}{x - 2}

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Frequently Asked Questions (FAQ)

What is 1/(x-2)-1 ?
The solution to 1/(x-2)-1 is (-x+3)/(x-2)