What is 2/(x-1)+1/x ?

The solution to 2/(x-1)+1/x is (3x-1)/(x(x-1))

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simplify 2/(x-1)+1/x

simplify

\frac{2}{x - 1} + \frac{1}{x}

\frac{3 x - 1}{x ( x - 1 )}

Solution steps

\frac{2}{x - 1} + \frac{1}{x}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Add similar elements:

2 x + x = 3 x

= \frac{3 x - 1}{x ( x - 1 )}

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

(\frac{1}{3})^{3} + \frac{4}{9}

(- 2) (a + 6)

- \frac{1}{2} \cdot \frac{2}{1}

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