Question 96706
Express the result in simplest form.

___4y____    +  __2y____
y²+6y+5           y²-1
------------------------------

[4y/(y+5)(y+1)] + [2y/(y+1)(y-1)]

least common denominator: (y+5)(y+1)(y-1)

[4y(y-1)/lcm] + [2y(y+5)/lcm]

Combine the numerators to get:
= [4y^2-4y+2y^2+10y]/lcm

= [6y^2+6y]/lcm

= [6y(y+1)]/lcm

Cancel the y+1 common to numerator and denominator:

= [6y/(y+5)(y-1)]

Cheers,
Stan H.