What is 2/(x-9)-2/x ?

The solution to 2/(x-9)-2/x is (18)/(x(x-9))

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simplify 2/(x-9)-2/x

simplify

\frac{2}{x - 9} - \frac{2}{x}

\frac{18}{x ( x - 9 )}

Solution steps

\frac{2}{x - 9} - \frac{2}{x}

Least Common Multiplier of

x - 9, x : x (x - 9)

Adjust Fractions based on the LCM

= \frac{2 x}{x ( x - 9 )} - \frac{2 ( x - 9 )}{x ( x - 9 )}

Apply the fraction rule:

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

= \frac{2 x - 2 ( x - 9 )}{x ( x - 9 )}

Simplify

2 x - 2 (x - 9) : 18

= \frac{18}{x ( x - 9 )}

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

2 - 5 x^{2} + 6^{2} + 9 - 2^{3}

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

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

\frac{21 x ^{2} y ^{3}}{7 x ^{2} y ^{2}}