Answer :
(i) (102)2
This can be written as:
(100 + 2)2
Apply the identity (a+b)2 = a2 + b2 + 2ab
= (100)2 + 2 (100) (2) + 22
= 10000 + 400 + 4
= 10404
(ii) (99)2
This can be written as:
(100 – 1)2
Apply the identity (a -b)2 = a2 + b2 - 2ab
= (100)2 – 2 (100) (1) + 12
= 10000 – 200 + 1
= 9801
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