Using the formulas and properties from above find out the value of the subsequent summation.

c

The first thing that we require to do here is square out the stuff being summed and after that break up the summation by using the properties as given here,

Here, using the formulas, it is easy to calculate,

       (3 - 2i)² = 9(100) - 12((100(101))/2) + 4((100(101)(201))/6)

= 1293700

Doing this by hand would definitely taken some time and there's a good chance that we might have made a minor mistake somewhere along the line.