Q6 of 274 Page 72

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


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