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 )}

- \frac{108}{63}

(5 p^{3}) (- m^{8} p^{2})

2 x + 8 x

- 4 y - 2 y^{3} - 4 + 4 y + 5 - 2 - 2 y^{3}

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