What is 1/x+1/(1-x) ?

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

x, 1 - x : x (- x + 1)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

- x + 1 + x : 1

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

(2) - 3

(3 - y^{2})^{2}

- (- 2) - 2

4 - 2 ∣ 12 - 3 (4 + 1) ∣

(a^{2} - b^{2}) (a + b)