What is 6/x-5/(x+2) ?

The solution to 6/x-5/(x+2) is (x+12)/(x(x+2))

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simplify 6/x-5/(x+2)

simplify

\frac{6}{x} - \frac{5}{x + 2}

\frac{x + 12}{x ( x + 2 )}

Solution steps

\frac{6}{x} - \frac{5}{x + 2}

Least Common Multiplier of

x, x + 2 : x (x + 2)

Adjust Fractions based on the LCM

= \frac{6 ( x + 2 )}{x ( x + 2 )} - \frac{5 x}{x ( x + 2 )}

Apply the fraction rule:

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

= \frac{6 ( x + 2 ) - 5 x}{x ( x + 2 )}

Simplify

6 (x + 2) - 5 x : x + 12

= \frac{x + 12}{x ( x + 2 )}

10 lo g_{10} (0.5)

3 x^{2} \times x

- (0)

\frac{π}{2} + 2 πn

\frac{2 x + 1}{12 x + 8} - \frac{x ^{2}}{6 x ^{2} + x - 2} + \frac{2 x}{16 x - 8}