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

The solution to 1/(x-3)+1/(x+3)-2/x is (18)/(x(x-3)(x+3))

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

simplify

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

\frac{18}{x ( x - 3 ) ( x + 3 )}

Solution steps

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

Least Common Multiplier of

x - 3, x + 3, x : x (x - 3) (x + 3)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x (x + 3) + x (x - 3) - 2 (x - 3) (x + 3) : 18

= \frac{18}{x ( x - 3 ) ( x + 3 )}

(10 a + 3 b) (3 a - 6 b)

\frac{csc ( x ) cot ( x )}{sec ( x )}

\frac{x ^{2} - 81}{x ^{2} - 2 x - 63}

- sin^{2} (t) + cos^{2} (t)

(x - a)^{2} - b^{2}

What is 1/(x-3)+1/(x+3)-2/x ?
The solution to 1/(x-3)+1/(x+3)-2/x is (18)/(x(x-3)(x+3))