How do you add and simplify #\frac { 7} { x - 3} + \frac { 2} { x + 7}#?

1 Answer
Rachel
Jun 22, 2017

#(9x-43)/(x^2-4x-24)#

Explanation:

To combine fractions, they need to have a "common denominator".

#(x+7)/(x+7) xx (7)/(x-3) + 2/(x+7) xx (x-3)/(x-3)#

#(7x+49)/(x^2-4x-24) + (2x-6)/(x^2-4x-24)#

#(7x+49+2x-6)/(x^2-4x-24)#

combine like-terms

#(9x-43)/(x^2-4x-24)#

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