Question

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

Answer 1

`y^2 - 3y - xy +3x`

We factor this expression by making groups of 2 terms
`= (y^2 - 3y) + (-xy +3x)`

Now we take the common factors out from each group
`= y( y -3) -x(y-3)`

`( y - 3)` is a common factor to each of the terms now,
`= (y-3)(y - x)`
`color(green)( (y-3)(y - x))` is the Factorised form of `y^2 - 3y - xy +3x`