Perform the indicated operation of multiplication or divisio

Perform the indicated operation of multiplication or division on the rational expressions and simplify. y + 8/y^2 + 2y - 35 y^2 - 7y + 10/y + 8

(y+8)/(y^2 + 2y - 35)* (y^2 -7y +10)/(y +8)

(y+8) gets cancelled in num and den.

(y^2 -7y +10)/(y^2 + 2y - 35)

(y^2 -5y -2y +10)/(y^2 +7y -5y -35)

y(y-5) -2(y -5)/[y(y+7)-5(y+7)]

(y-2)(y-5)/(y-5)(y+7)

(y-2)/(y+7)