Evaluate using identity
(ii)103 x 104
(iv) 103 x 98
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Step-by-step explanation:
i) 71^2 71^2 = (70+1)^2
= 702 + 140 + 1^2
= 4900 + 140 + 1
= 5041
ii) 103 x 104
= (100 + 3)(100 + 4)
= 1002 + (3 + 4)100 + 12
= 10000 + 700 + 12
= 10712
iii)51^2 - 49^2
= (51 + 49)(51 – 49)
= 100 x 2
= 200
iv) 103 x 98
= (100 + 3)(100 – 2)
= 1002 + (3-2)100 – 6
= 10000 + 100 – 6
= 10094
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