Đáp án:
1.
66 x 65 - 65 x 64 + 64 x 63 - 63 x 62 + ... + 4 x 3 - 3 x 2 + 2 x 1
=(66 x 65 - 65 x 64)+(64 x 63 -63 x 62)+...+(4 x 3 - 3 x 2) +2 x 1
=65 x (66-64)+ 63 x (64-62) + ...+3 x (4-2)+2 x 1
=65 x 2+63 x 2+...+3 x 2 +1 x 2
=2 x (65+63+...+3+1)
=2 x 1089
=2178
2.
199+198+...+101+100-99-98-97-...-1
=(199-99)+(198-98)+...+(101-1)+100
=100+100+100+...+100
=100 x 100
=10000