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Question
1397 x 1397 = ?
Options:
A .  1951609
B .  1981709
C .  18362619
D .  2031719
E .  None of these
Answer: Option A
$$\eqalign{
& 1397 \times 1397 \cr
& = {\left( {1397} \right)^2} \cr
& = {\left( {1400 - 3} \right)^2} \cr
& = {\left( {1400} \right)^2} + {\left( 3 \right)^2} - \left( {2 \times 1400 \times 3} \right) \cr
& = 1960000 + 9 - 8400 \cr
& = 1960009 - 8400 \cr
& = 1951609 \cr} $$

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