Question

How do you factor `3x^2 - 2x + 12xy - 8y`?

Answer 1

`3x^2-2x+12xy-8y=(x+4y)(3x-2)`

Explanation:

Factor by grouping as follows:

`3x^2-2x+12xy-8y`

`=(3x^2-2x)+(12xy-8y)`

`=x(3x-2)+4y(3x-2)`

`=(x+4y)(3x-2)`