Question 124748
{{{((x^2+7x)/(x^2-5x))+((x^2-4x)/(x^2-5x))}}}


The denominators are equal, so add the numerators directly:


{{{((x^2+7x)+(x^2-4x))/(x^2-5x)}}}
{{{(2x^2+3x)/(x^2-5x)}}}


Factor x from both numerator and denominator:
{{{(x(2x+3))/(x(x-5))}}}


Divide x by x to cancel:
{{{(cross(x)(2x+3))/(cross(x)(x-5))}}}


Done
{{{(2x+3)/(x-5)}}}