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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

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

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

\frac{5 x + 7}{x - 2} - \frac{1}{x ^{2} - 9 x + 14}

1 e^{1}

\frac{9}{x ^{2} - 12 x + 36} + \frac{x}{x ^{2} - 36}

125 a^{3} + 1

\frac{d - 2}{d ^{2} - 4} + \frac{4}{d ^{2} + 4 d + 4}