What is 9/(x+9)-1/x ?

The solution to 9/(x+9)-1/x is (8x-9)/(x(x+9))

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simplify 9/(x+9)-1/x

simplify

\frac{9}{x + 9} - \frac{1}{x}

\frac{8 x - 9}{x ( x + 9 )}

Solution steps

\frac{9}{x + 9} - \frac{1}{x}

Least Common Multiplier of

x + 9, x : x (x + 9)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

9 x - (x + 9) : 8 x - 9

= \frac{8 x - 9}{x ( x + 9 )}

508

5 x^{2} + 180

3.1

3 - 4

387