Question

How do you factor by grouping `xy+6x+2y+12`?

Answer 1

`xy + 6x + 2y + 12`

We factor this expression by making groups of 2 terms
`= (xy + 6x) + (2y +12)`

Now we take the common factors out from each group
`= x( y + 6) + 2( y + 6)`

`( y + 6)` is a common factor to each of the terms now:

`= ( y + 6)(x + 2)`

`color(green)( ( y + 6)(x + 2))` is the Factorised form of `xy + 6x + 2y + 12`