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

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

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

simplify

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

\frac{x ^{2} - x - 1}{x ( x + 1 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{x ^{2}}{x ( x + 1 )} - \frac{x + 1}{x ( x + 1 )}

Apply the fraction rule:

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

= \frac{x ^{2} - ( x + 1 )}{x ( x + 1 )}

Simplify

x^{2} - (x + 1) : x^{2} - x - 1

= \frac{x ^{2} - x - 1}{x ( x + 1 )}

e^{t + l n (t)}

5 (10 v - 8 w + 4)

7 + 2 (\frac{1}{5} a - 3)

x + 3 + \frac{x + 7}{2 - x}

3^{- 1} + 3^{- 2} + 3^{- 3} + 3^{- 4}