simplify 1-1/(1-x)

Solution

simplify

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

- \frac{x}{1 - x}

Solution steps

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

Apply the fraction rule:

1 - \frac{b}{c} = \frac{c - b}{c}

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

Simplify

(1 - x) - 1 : - x

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

Apply the fraction rule:

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

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

\frac{625}{1000}

9 - 3 (2 x - 4)

(4 x - 2 x^{3}) + (5 x^{3} - 4 x + 5)

(x^{2} + 8)^{2} - 36 x^{2}

(\frac{16}{81})^{\frac{- 3}{4}}