101 = 100 + 1
(100 + 1)² = 100² + 2 x 100 + 1
1001 = 1000 + 1
(1000 + 1)² = 1000² + 2 x 1000 + 1
99 = 100 - 1
99² = (100 - 1)² = 100² - 2 x 100 + 1
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101 = 100 + 1
(100 + 1)² = 100² + 2 x 100 + 1
1001 = 1000 + 1
(1000 + 1)² = 1000² + 2 x 1000 + 1
99 = 100 - 1
99² = (100 - 1)² = 100² - 2 x 100 + 1