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

May 22, 2015

${y}^{2} + 3 y - 2 y - 6$

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 :
$y \left(y + 3\right) - 2 \left(y + 3\right)$

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