What is 3/(x+6)-2/(x-1) ?

The solution to 3/(x+6)-2/(x-1) is (x-15)/((x+6)(x-1))

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simplify 3/(x+6)-2/(x-1)

simplify

\frac{3}{x + 6} - \frac{2}{x - 1}

\frac{x - 15}{( x + 6 ) ( x - 1 )}

Solution steps

\frac{3}{x + 6} - \frac{2}{x - 1}

Least Common Multiplier of

x + 6, x - 1 : (x + 6) (x - 1)

Adjust Fractions based on the LCM

= \frac{3 ( x - 1 )}{( x + 6 ) ( x - 1 )} - \frac{2 ( x + 6 )}{( x + 6 ) ( x - 1 )}

Apply the fraction rule:

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

= \frac{3 ( x - 1 ) - 2 ( x + 6 )}{( x + 6 ) ( x - 1 )}

Simplify

3 (x - 1) - 2 (x + 6) : x - 15

= \frac{x - 15}{( x + 6 ) ( x - 1 )}

8 x - 16

(3 x - 2)^{6}

\frac{7 - 12}{12 - 7}

9 + 1

\frac{45 y ^{3} z ^{10}}{5 y ^{3} z}

What is 3/(x+6)-2/(x-1) ?
The solution to 3/(x+6)-2/(x-1) is (x-15)/((x+6)(x-1))