simplify x/(x+1)-1

Solution

simplify

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

- \frac{1}{x + 1}

Solution steps

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

Apply the fraction rule:

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

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

Apply rule:

1 \cdot a = a

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

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

Simplify

- (x + 1) + x : - 1

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

Apply the fraction rule:

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

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

\frac{7}{8} - \frac{1}{10}

(x + 2 x)^{2}

2 + \frac{1}{3}

(2^{- 1} + 5^{- 1})^{2}