This expression can be simplified by factoring out 5/3 from each term:

5/3(6•9 + 9•12 + 12•15 + ... + 27•30)

Now, we can calculate the sum of the terms inside the parentheses:

6•9 = 54
9•12 = 108
12•15 = 180
...
27•30 = 810

Adding all these products together:

54 + 108 + 180 + ... + 810 = 1830

Now, multiply this sum by 5/3:

5/3 * 1830 = 3050

Therefore, the result is 3050.