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

The solution to 1/(x-3)-3/x is (-2x+9)/(x(x-3))

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Simplify

x - 3 (x - 3) : - 2 x + 9

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

6 k^{2} - 7 k - 5

9 x^{4} y^{2} - 1

lo g_{- 2} (8)

\frac{2}{3} \div \frac{7}{3}

6 a - 3 b