Question 467479
{{{3y/(y^2-7y+10)-2y/(y^2-8y+15)}}}

{{{3y/((y-5)(y-2))-2y/((y-3)(y-5))}}}


LCD = (y-5)(y-2)(y-3)


{{{(3y(y-3)-2y(y-2))/((y-5)(y-2)(y-3))}}}

{{{(3y^2-9y-2y^2+4y)/((y-5)(y-2)(y-3))}}}

{{{(y^2-5y)/((y-5)(y-2)(y-3))}}}

{{{(y(cross(y-5))/((cross(y-5))(y-2)(y-3)))}}}

{{{y/((y-2)(y-3))}}}



the 2nd one is a complex rational expression:

(1-x)/(x)+(x)/(1+x) over (fraction) (1+x)/(x)+(x)/(1-x)  <----simplify 

{{{((1-x)/x) +(x/(1+x))}}}/{{{(1+x)/x + x/(1-x)}}}

{{{(1-x^2+x^2)/(x(1+x))}}}/{{{((1-x^2)+x^2)/(x(1-x))}}}

{{{1/(x(1+x))}}}* {{{(x(1-x))/1}}}

{{{(1-x)/(1+x)}}}