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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

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

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

1 \cdot 1 0^{12}

(2 + 3) (3 - 7)

\frac{6 + 8}{2}

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

11 g - 9 g + 8 g

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