Factor −10xy – 15x+12y+18.

Sure, let's factor the expression −10xy − 15x + 12y + 18 step by step:

Step 1: Group the terms that have common factors. In this case, we can group the terms as follows: (−10xy − 15x) + (12y + 18).

Step 2: Factor out the greatest common factor from each group. The greatest common factor of the first group is -5x and the greatest common factor of the second group is 6. So, we get: -5x(2y + 3) + 6(2y + 3).

Step 3: Notice that (2y + 3) is a common factor. We can factor that out to get the final factored form of the expression: (2y + 3)(-5x + 6).

So, the expression −10xy − 15x + 12y + 18 factored is (2y + 3)(-5x + 6).