Use identities to evaluate (i)(101)²

Asked by navkirankaurrehal23 | 27th Apr, 2021, 11:19: AM

Expert Answer:

Here, 101 = 100 + 1
The identity to be used is: (a+b)2 = a2 + b2 + 2ab
Therefore, we have
(101)2 = (110 + 1)2 = 1002 + 12 + 2(100)(1)
          = 10000 + 1 + 200
          = 10201

Answered by Renu Varma | 27th Apr, 2021, 11:31: AM