How do you multiply and simplify #\frac { y ^ { 2} - 9} { 6y - 18} \cdot \frac { y + 5} { y + 3}#?

1 Answer
Mia
May 5, 2017

#=(y+5)/6#

Explanation:

#(y^2-9)/(6y-18).(y+5)/(y+3)#
#" "#
#=((y)^2-3^2)/(6(y-3)).(y+5)/(y+3)#
#" "#
#=((y-3)(y+3))/(6(y-3)).(y+5)/(y+3)#
#" "#
#=(color(blue)cancel((y-3))color(brown)cancel((y+3)))/(6color(blue)cancel((y-3))).(y+5)/color(brown)cancel((y+3))#
#" "#
#=1/6.(y+5)/1#
#" "#
#=(y+5)/6#

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