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

The solution to (x+1)/(x-1)+1/x is (x^2+2x-1)/(x(x-1))

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(x + 1) x + x - 1 : x^{2} + 2 x - 1

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

4 (3 - 4 x)

(- 23 + 2) (3 - 5)

9 x^{6} - 25

36 ab + 60 b

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