factoring::

i factored
15A^2B - 10AB^2
into...
(15A - 10B)(15A + 10B)
am i doing it correctly? because im pretty confused.

thanks :]

No, you are confused. This is not a difference of squares. Neither the first term or the last is a perfect square.

Here, there are common factors. What is a common factor of 15 and 10. Say 5.

What is a common factor of A^2, and A?

of B and B^2?

So pull out the common factor..

5AB and multiply it with the remainder..
5AB(3A - 2B).

check that by multipling it out.