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

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Answer 1 · 2018-04-11T09:58:29

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

#(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#

Answer 2 · 2018-04-11T09:59:51

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

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)#