Question

Calculate (997)square using algebraic identities

Answer 1

(997)Square = (1000-3)whole square 
                     = 1000 square-2(1000)(3)+3 square
                     = 1000000-6000+9
                     = 994009
by the identity (a-b)whole square .

Answer 2

997 square =(1000-3)
                     1000 square -2(1000*3) + 3 square
                      1000000-2(3000)+9
                      1000000-6000+9
                       994009

so by the identity 997 square = 994009

hope i helped  you 
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