1.

Expand using appropriate identities:(105)2

Answer»

(105)2 = (100 + 5)2

Comparing (100 + 5)2 with (a + b)2, we get a = 100 and b = 5.

(a + b)2 = a2 + 2ab + b2

(100 + 5)2 

= (100)2 + 2(100)(5) + 52 

= 10000 + 1000 + 25

1052 = 11,025



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