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(i) 712 (ii) 992 (iii) 1022

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(i) 712 = (70 + 1)2

= (70)2 + 2(70) (1) + (1)

= 4900 + 140 + 1 = 5041

Note : [(a + b)2 = a2 + 2ab + b2 ]

(ii) 992 = (100 − 1)2

= (100)2 − 2(100) (1) + (1)2 

= 10000 − 200 + 1 = 9801

Note : [(a − b)2 = a2 − 2ab + b2 ]

(iii) 1022 = (100 + 2)2

= (100)2 + 2(100)(2) + (2)2 

= 10000 + 400 + 4 = 10404

Note : [(a + b)2 = a2 + 2ab + b2 ]

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