What is 9/(x-3)-3/x ?

The solution to 9/(x-3)-3/x is (6x+9)/(x(x-3))

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simplify 9/(x-3)-3/x

simplify

\frac{9}{x - 3} - \frac{3}{x}

\frac{6 x + 9}{x ( x - 3 )}

Solution steps

\frac{9}{x - 3} - \frac{3}{x}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Simplify

9 x - 3 (x - 3) : 6 x + 9

= \frac{6 x + 9}{x ( x - 3 )}

2 \times + 2

\frac{3}{8} \div \frac{1}{48}

1.0 7^{10}

4 x^{3} - x^{3}

x \times (- x^{2})