# How do you factor #6m^2+43mn-15n^2 #?

##### 1 Answer

Start by knowing that we're looking for

#### Explanation:

The key to this kind of problem is to find factors for 6 and -15 that when multiplied and added all together, adds to 43. So let's do that.

Starting with the original:

We know the factors for 6 are

We know the factors for -15 are

We also know that there will be an m in the first term and an n in the second.

Overall, we're looking to find a solution in the form of:

We need a pretty big positive number for

And nice - we got it on the first go.

So we have