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

The solution to (x+1)/(x-1)-(x-1)/(x+1) is (4x)/((x-1)(x+1))

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

simplify

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

\frac{4 x}{( x - 1 ) ( x + 1 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(x + 1)^{2} - (x - 1)^{2} : 4 x

= \frac{4 x}{( x - 1 ) ( x + 1 )}

lo g_{9} (5)

- 3 x - 6 + (- 1)

(t + 2)^{3}

2 x (n - 1) - 3 y (n - 1)

\frac{45}{6}

What is (x+1)/(x-1)-(x-1)/(x+1) ?
The solution to (x+1)/(x-1)-(x-1)/(x+1) is (4x)/((x-1)(x+1))