What is 2/(x+1)-4/(x-1) ?

The solution to 2/(x+1)-4/(x-1) is (-2x-6)/((x+1)(x-1))

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simplify 2/(x+1)-4/(x-1)

simplify

\frac{2}{x + 1} - \frac{4}{x - 1}

\frac{- 2 x - 6}{( x + 1 ) ( x - 1 )}

Solution steps

\frac{2}{x + 1} - \frac{4}{x - 1}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{2 ( x - 1 )}{( x + 1 ) ( x - 1 )} - \frac{4 ( x + 1 )}{( x + 1 ) ( x - 1 )}

Apply the fraction rule:

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

= \frac{2 ( x - 1 ) - 4 ( x + 1 )}{( x + 1 ) ( x - 1 )}

Simplify

2 (x - 1) - 4 (x + 1) : - 2 x - 6

= \frac{- 2 x - 6}{( x + 1 ) ( x - 1 )}

(\frac{2}{3})^{- 2} (\frac{2}{3})^{3}

\frac{1}{\frac{1}{3}}

8^{2} - 6^{2}

\frac{- 6 ^{- 2} x ^{0} z ^{- 6}}{2 y ^{- 4}}

(1 + \frac{1}{x})^{3}

What is 2/(x+1)-4/(x-1) ?
The solution to 2/(x+1)-4/(x-1) is (-2x-6)/((x+1)(x-1))