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

The solution to 2/(x-3)-3/(x+1) is (-x+11)/((x-3)(x+1))

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

simplify

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

\frac{- x + 11}{( x - 3 ) ( x + 1 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 (x + 1) - 3 (x - 3) : - x + 11

= \frac{- x + 11}{( x - 3 ) ( x + 1 )}

(3 + \frac{1}{2} i) (4 - \frac{5}{3} i)

1 \cdot 1 0^{- 10}

\frac{1 - sin ^{2} ( θ )}{sin ^{2} ( θ )}

\frac{( 26 + 39 i )}{( 2 - 3 i )}

- 7 \cdot (- 2)

What is 2/(x-3)-3/(x+1) ?
The solution to 2/(x-3)-3/(x+1) is (-x+11)/((x-3)(x+1))