What is 5/(x+1)-6/x ?

The solution to 5/(x+1)-6/x is (-x-6)/(x(x+1))

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simplify 5/(x+1)-6/x

simplify

\frac{5}{x + 1} - \frac{6}{x}

\frac{- x - 6}{x ( x + 1 )}

Solution steps

\frac{5}{x + 1} - \frac{6}{x}

Least Common Multiplier of

x + 1, x : x (x + 1)

Adjust Fractions based on the LCM

= \frac{5 x}{x ( x + 1 )} - \frac{6 ( x + 1 )}{x ( x + 1 )}

Apply the fraction rule:

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

= \frac{5 x - 6 ( x + 1 )}{x ( x + 1 )}

Simplify

5 x - 6 (x + 1) : - x - 6

= \frac{- x - 6}{x ( x + 1 )}

\frac{6}{10} \cdot \frac{5}{8}

(q x + 5)^{5}

(2 x - 8) (2 x - 6)

6 \times 24