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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

x + 1, x - 3 : (x + 1) (x - 3)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x (x - 3) + 2 (x + 1) : x^{2} - x + 2

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

- 4 x^{- 6}

6 m (4 m^{3} + 23)

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

\frac{2 + 3 i}{1 + 2 i}

10 x^{2} + 17 x + 6

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