Question

How do you factor `2mx+4bx+3my+6by`?

Answer 1

`(m + 2b)(2x + 3y)`

Explanation:

Your starting expression looks like this

`2mx + 4bx + 3my + 6by`

If you look at the coefficients, you'll notice that you have more than one option for common factors. Moreover, the `m` and `b` terms can also be grouped together and used as common factors.

So, here's one way in which you can factor this expression. Use `m` and `2b` as common factors

`m * (2x + 3y) + 2b * (2x + 3y)`

`(2x + 3y) * (m + 2b)`

Alternatively, you can use `2x` and `3y` a common factors

`2x * (m + 2b) + 3y * (m + 2b)`

`(m + 2b) * (2x + 3y)`