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

The solution to x/(x-3)-3/x is (x^2-3x+9)/(x(x-3))

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simplify x/(x-3)-3/x

simplify

\frac{x}{x - 3} - \frac{3}{x}

\frac{x ^{2} - 3 x + 9}{x ( x - 3 )}

Solution steps

\frac{x}{x - 3} - \frac{3}{x}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x^{2} - 3 (x - 3) : x^{2} - 3 x + 9

= \frac{x ^{2} - 3 x + 9}{x ( x - 3 )}

- 7 \times (- 3)

218 - 532

t^{4} + t^{6}

lo g_{6} (\frac{1}{36})

- 2 p - 8 m - 9 - 2