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

The solution to 3/(x-1)-3/(x+3) is (12)/((x-1)(x+3))

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

simplify

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

\frac{12}{( x - 1 ) ( x + 3 )}

Solution steps

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

Apply the fraction rule:

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

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

Simplify

3 (x + 3) - 3 (x - 1) : 12

= \frac{12}{( x - 1 ) ( x + 3 )}

12 x^{2} - 4

(x^{2} + 7)^{2}

\frac{1}{3} \div \frac{2}{5}

15 ab c^{2} + 45 a^{2} b c

(- 9 - 7 i) + (- 2 + 6 i)