Evaluate:
(i) (99)2
(ii) (998)2
(i) We know that,
(a – b)2 = a2 – 2ab + b2
Using this formula, we get
= (100 – 1)2
= (100)2 – 2(100) (1) + (1)2
= 10000 – 200 + 1
= 9801
(ii) We know that,
(a – b)2 = a2 – 2ab + b2
Using this formula, we get
= (1000 – 2)2
= (1000)2 – 2(1000) (2) + (2)2
= 1000000 – 4000 + 4
= 996004