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Popular >

simplify 1/(x+1)-1

Solution

simplify

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

Solution

- \frac{x}{x + 1}

Solution steps

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

Apply the fraction rule:

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

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

Apply rule:

1 \cdot a = a

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

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

Simplify

- (x + 1) + 1 : - x

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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

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Frequently Asked Questions (FAQ)

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