How do you add #\frac { x } { x ^ { 2} + 6x - 7} + \frac { 7} { x ^ { 2} + 6x - 7}#?

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Answer 1 · 2018-04-10T08:13:07

#1/(x-1) #

#x/(x^2 +6x-7) + 7/(x^2 +6x-7) #

Since the denominator is the same for both, we can just add the numerators

#=> (x+7)/(x^2+6x-7) #

Factorise the denominator

#=> (x+7)/( (x+7)(x-1) ) #

Cancel out...

#=> cancel((x+7))/( cancel((x+7))(x-1) ) #

#=>color(red)( 1/(x-1) #