What is 3/(x-1)-2/x ?

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

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simplify 3/(x-1)-2/x

simplify

\frac{3}{x - 1} - \frac{2}{x}

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

Solution steps

\frac{3}{x - 1} - \frac{2}{x}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{3 x}{x ( x - 1 )} - \frac{2 ( x - 1 )}{x ( x - 1 )}

Apply the fraction rule:

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

= \frac{3 x - 2 ( x - 1 )}{x ( x - 1 )}

Simplify

3 x - 2 (x - 1) : x + 2

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

(6 t^{2} - 3 t + 5) (7 t - 4)

\frac{\frac{1}{4} + \frac{1}{x}}{4 + x}

(1 - 5) (2 - 5)

(5 b^{3} - 8) (5 b^{3} - 8)

7 t^{4} \cdot 7 t^{4}