1, 127² + 146.127 + 73²
= 127² + 2.127.73 + 73²
= (127 + 73)²
= 200²
=20000
2, 9^8.2^8-(18^4-1).(18^4+1)
= 18^8 - (18^8 -1)
= 18^8 - 18^8 +1
=1
3, 100² - 99² + 98² - 97² +...+2²-1²
=(100²-99²) + (98²-97²) + ...+ (2²-1²)
=(100-99)(100+99) + (98-97)(98+97) + ...+ (2-1)(2+1)
=100+99+98+97+...+2+1
=(100+1).100/2
=5050