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

The solution to 1/(3x)-2/(x+3) is (-5x+3)/(3x(x+3))

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

simplify

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

\frac{- 5 x + 3}{3 x ( x + 3 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x + 3 - 6 x : - 5 x + 3

= \frac{- 5 x + 3}{3 x ( x + 3 )}

\frac{1}{4 ^{\frac{3}{2}}}

\frac{15 x ^{7} - 10 x ^{3} + 5 x ^{4}}{5 x ^{3}}

- 12 \times (- 8.6) - 9.4

23 - 4

24 + 9