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 )}

Apply the fraction rule:

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

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

6 - 33 i

180 x^{5} y

x \times 2 x

20 lo g_{10} (50)

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

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))