What is 3/(x-1)-4/(x+3) ?

The solution to 3/(x-1)-4/(x+3) is (-x+13)/((x-1)(x+3))

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simplify 3/(x-1)-4/(x+3)

simplify

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

\frac{- x + 13}{( x - 1 ) ( x + 3 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{3 ( x + 3 )}{( x - 1 ) ( x + 3 )} - \frac{4 ( x - 1 )}{( x - 1 ) ( x + 3 )}

Apply the fraction rule:

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

= \frac{3 ( x + 3 ) - 4 ( x - 1 )}{( x - 1 ) ( x + 3 )}

Simplify

3 (x + 3) - 4 (x - 1) : - x + 13

= \frac{- x + 13}{( x - 1 ) ( x + 3 )}

5 (3 x^{2} + 9 x) - 14

1.0 3^{10}

2 (2)

(s + 1) (s + 2)^{2}

\frac{50}{36}

What is 3/(x-1)-4/(x+3) ?
The solution to 3/(x-1)-4/(x+3) is (-x+13)/((x-1)(x+3))