What is 5/(x(x-1))-2/(3x) ?

The solution to 5/(x(x-1))-2/(3x) is (-2x+17)/(3x(x-1))

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simplify 5/(x(x-1))-2/(3x)

simplify

\frac{5}{x ( x - 1 )} - \frac{2}{3 x}

\frac{- 2 x + 17}{3 x ( x - 1 )}

Solution steps

\frac{5}{x ( x - 1 )} - \frac{2}{3 x}

Least Common Multiplier of

x (x - 1), 3 x : 3 x (x - 1)

Adjust Fractions based on the LCM

= \frac{15}{3 x ( x - 1 )} - \frac{2 ( x - 1 )}{3 x ( x - 1 )}

Apply the fraction rule:

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

= \frac{15 - 2 ( x - 1 )}{3 x ( x - 1 )}

Simplify

15 - 2 (x - 1) : - 2 x + 17

= \frac{- 2 x + 17}{3 x ( x - 1 )}

(5 a + a^{2} + a^{3})^{2}

\frac{x ^{8} - y ^{8}}{x + y}

\frac{12}{4} + 2 \frac{1}{2} - 3

x^{4} \cdot x^{- 4}

(1 - u^{2})^{4}

What is 5/(x(x-1))-2/(3x) ?
The solution to 5/(x(x-1))-2/(3x) is (-2x+17)/(3x(x-1))