Answer :

(i) Given,


(54)2


If we break the given number we get;


(50 + 4)2


Now we can use the (a + b)2 = a2 + b2 + 2ab


So,


= (50 + 4)2 = (50)2 + (4)2 + 2 × 50 × 4


= 2500 + 16 + 400


= 2916


(ii) (82)2


We can also write it as;


(80 + 2)2


By using the formula (a + b)2 = a2 + b2 + 2ab


We get,


= (80 + 2)2 = (80)2 + (2)2 + 2 × 80 × 2


= 6400 + 4 + 320


= 6724


(iii) (103)2


We can also write it as;


(100 + 3)2


By using the formula (a + b)2 = a2 + b2 + 2ab


We get,


(100 + 3)2 = (100)2 + (3)2 + 2 × 100 × 3


= 10000 + 9 + 600


= 10609


(iv) (704)2


We can also write it as;


(700 + 4)2


By using the formula (a + b)2 = a2 + b2 + 2ab


We get,


= (700 + 4)2 = (700)2 + (4)2 + 2 × 700 × 4


= 490000 + 16 + 5600


= 495616


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