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Examveda

1397 x 1397 = ?

A. 1951609

B. 1981709

C. 18362619

D. 2031719

E. None of these

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & 1397 \times 1397 \cr & = {\left( {1397} \right)^2} \cr & = {\left( {1400 - 3} \right)^2} \cr & = {\left( {1400} \right)^2} + {\left( 3 \right)^2} - \left( {2 \times 1400 \times 3} \right) \cr & = 1960000 + 9 - 8400 \cr & = 1960009 - 8400 \cr & = 1951609 \cr} $$

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