First question

Solution: ∫ 1+w+w2 = 0.

∫ original formula = w1980 (1+w+w2)+w1983 (1+w+w2)+...+w2007 (65438).

Therefore, the original formula =0.

the second question

25^8=(5^2)^8=5^ 16

∴ Original formula = 5 16-5 14

=(5^2- 1)*5^ 14

=24*5^ 14

So you can