How do you simplify #\frac { y ^ { 2} + 9y + 14} { y ^ { 2} + 3y + 2}#?

2 Answers
Apr 11, 2018

#(y+7)/(y+1)#

Explanation:

#(y^2+9y+14)/(y^2+3y+2)#

#=((y+2)(y+7))/((y+2)(y+1))# factorise trinomials

#=(y+7)/(y+1)# divide numerator and denominator by #y+2#

Apr 11, 2018

#(x+7)/(x+1)#

Explanation:

Factorise both the numerator and denominator

#((y+7)(y+2))/((y+2)(y+1))#

Cancel out the (x+2) on both the top and bottom

#(y+7)/(y+1)#