How do you factor by grouping #y^2 + 3y - 2y - 6#?

1 Answer
May 22, 2015

#y^2 + 3y -2y -6#

We can make groups of two to factorise this expression:
#color(blue)((y^2+3y) - color(red)((2y + 6)#

#color(blue)(y# is common to both the terms in the first group, and #color(red)(2# is common to both the terms in the second group:

We can write the expression as :
#y(y + 3) - 2(y+3)#

#=color(green)((y+3)(y-2)# , is the factorised form.