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

1 Answer
Rohan N.
Apr 1, 2018

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

Explanation:

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))#

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