addition and subtraction when denomiators are the same

Question

y2       -    5y+14

 

y+2          y+2

 

Answer 1

Just add/subtract numerators

 

(y² -(5y +14))/y+2 = (y² - 5y -14)/(y+2)

 

factorize numerator

 

y² - 7y + 2y -14 = y(y-7) + 2(y-7) = (y+2)(y-7)

 

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

 

:)