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Question
Evaluate: 1012 – 1002
Solution
1012 – 1002
Using property, for any natural number n,
(n + 1)2 – n2 = (n + 1) + n
⇒ (100 + 1)2 – 1002 = (100 + 1) + 100
⇒ 1012 – 1002 = 101 + 100
⇒ 1012 – 1002 = 201
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