Question 419213
In looking at this expression, let's work on the coefficients first.  Both 45 and 320 are divisible by 5 so let's factor out the 5 first:  5(9w^2 - 64).  Looking more closely at this, we can see that 9w^2 - 64 is the difference of two squares, namely 3w and 8.  So, we now have: 5[ (3w)^2 - (8)^2 ].  In factoring the difference of two squares, we are left with the final answer:

5 (3w - 8) (3w + 8)