Question 164761
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You're answer = {{{highlight(8/(y+5))}}}.
We'll check it out:
{{{(y-2)/(y-5)-(y+1)/(y+5)+(y-35)/(y^2-25)}}}
{{{(y-2)/(y-5)-(y+1)/(y+5)+(y-35)/(y+5)(y-5)}}}
Get LCD,and perform indicated operations:
{{{((y-2)(y+5)-(y+1)(y-5)+(y-35))/(y+5)(y-5)}}}
Expand (multiply),
{{{(y^2+3y-10-(y^2-4y-5)+y-35)/(y+5)(y-5)}}}
{{{(y^2+3y-10-y^2+4y+5+y-35)/(y+5)(y-5)}}}
{{{(cross(y^2)+3y-10-cross(y^2)+4y+5+y-35)/(y+5)(y-5)}}}
{{{(8y-40)/(y+5)(y-5)}}}
{{{8(y-5)/(y+5)(y-5)}}} ---> {{{8(cross(y-5))/(y+5)cross(y-5)}}}
{{{highlight(8/(y+5))}}} ----------> CORRECT, same highlighted answer above
Thank you,
Jojo</pre>