Question

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

Answer 1

`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.