Question 116858
{{{((x-4))/((x^2-4x-5))}}} + {{{((x-3))/((x^2-25))}}}
:
Factor where you can:
{{{((x-4))/((x-5)(x+1))}}} + {{{((x-3))/((x-5)(x+5)))}}}
:
The common denominator is (x-5)(x+1)(x+5)
{{{((x+5)(x-4) + (x+1)(x-3))/(x-5)(x+1)(x+5))}}}
FOIL in the numerator:
{{{((x^2+x-20)+ (x^2-2x-3))/(x-5)(x+1)(x+5))}}}
:
{{{(x^2 + x^2 + x - 2x - 20 - 3)/(x-5)(x+1)(x+5))}}}
:
{{{(2x^2 - x - 23)/(x-5)(x+1)(x+5))}}}