How do you combine $\frac { 3} { x - 6} - \frac { 3} { x + 2}$ into one expression?

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Answer 1 · 2018-04-01T19:52:16

$24/((x-6)(x-2))$

The denominators need to be the same to combine the fractions so times $(x+2)$ to the Left fraction and $(x-6)$ to the right one.

$3/(x-6)*(x+2)/(x+2)-3/(x+2)*(x-6)/(x-6)$

$(3(x+2))/((x-6)(x-2))-(3(x-6))/((x+2)(x-6))$

$(3(x+2)-3(x-6))/((x-6)(x-2))$

$(3x+6-3x+18)/((x-6)(x-2))$

$24/((x-6)(x-2))$

How do you combine \frac { 3} { x - 6} - \frac { 3} { x + 2}\frac { 3} { x - 6} - \frac { 3} { x + 2} into one expression?