What is 3/(x+5)-1/(x-3) ?

The solution to 3/(x+5)-1/(x-3) is (2x-14)/((x+5)(x-3))

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simplify 3/(x+5)-1/(x-3)

simplify

\frac{3}{x + 5} - \frac{1}{x - 3}

\frac{2 x - 14}{( x + 5 ) ( x - 3 )}

Solution steps

\frac{3}{x + 5} - \frac{1}{x - 3}

Least Common Multiplier of

x + 5, x - 3 : (x + 5) (x - 3)

Adjust Fractions based on the LCM

= \frac{3 ( x - 3 )}{( x + 5 ) ( x - 3 )} - \frac{x + 5}{( x + 5 ) ( x - 3 )}

Apply the fraction rule:

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

= \frac{3 ( x - 3 ) - ( x + 5 )}{( x + 5 ) ( x - 3 )}

Simplify

3 (x - 3) - (x + 5) : 2 x - 14

= \frac{2 x - 14}{( x + 5 ) ( x - 3 )}

8^{l o g_{4} (5)}

\frac{2}{3} + \frac{2}{3}

40 0^{\frac{1}{4}}

\frac{55}{16}

What is 3/(x+5)-1/(x-3) ?
The solution to 3/(x+5)-1/(x-3) is (2x-14)/((x+5)(x-3))