1.

Evaluate using the identity (a + b)2 = a2 + 2ab + b2(41)2

Answer»

412 = (40 + 1)2 (a + b)2 = a2 + 2ab + b2 

Here a = 40, b = 1 

(40 + 1)2 = 402 + 2 × 40 × 1 + (1)2 

= 1600 + 80 + 1 

412 = 1681



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