What is 2/(x-1)+3/(x+1) ?

The solution to 2/(x-1)+3/(x+1) is (5x-1)/((x-1)(x+1))

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simplify 2/(x-1)+3/(x+1)

simplify

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

\frac{5 x - 1}{( x - 1 ) ( x + 1 )}

Solution steps

\frac{2}{x - 1} + \frac{3}{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{3 ( x - 1 )}{( x - 1 ) ( x + 1 )}

Apply the fraction rule:

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

= \frac{2 ( x + 1 ) + 3 ( x - 1 )}{( x - 1 ) ( x + 1 )}

Simplify

2 (x + 1) + 3 (x - 1) : 5 x - 1

= \frac{5 x - 1}{( x - 1 ) ( x + 1 )}

\frac{- x}{3}

\frac{\frac{x + 2}{x - 4}}{\frac{1}{3 x - 12}}

\frac{18}{40}

(5 x^{2} - 3 x - 2) + (6 x^{5} + 4 x - 2 x^{2} - 7)

3 x^{2} - 24 x - 27

What is 2/(x-1)+3/(x+1) ?
The solution to 2/(x-1)+3/(x+1) is (5x-1)/((x-1)(x+1))