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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

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

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

Apply the fraction rule:

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

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

\frac{1}{\frac{5}{3}}

10 x^{2} - 21 x + 2

((3)^{3})^{4}

- 5 x^{3} - 5 x^{2} + 210 x

\frac{- 2 q ^{2}}{3 ( q ^{- 4} ) ^{2}}