Using identities, evaluate 9982

9982 = (1000 − 2)2 = (1000)2 − 2(1000)(2) + (2)2 [(a − b)2 = a2 − 2ab + b2 ] = 1000000 − 4000 + 4 = 996004

Using Identities, Evaluate 998square2

Using identities, evaluate 998²

998² = (1000 − 2)²

= (1000)² − 2(1000)(2) + (2)² [(a − b)² = a² − 2ab + b² ]

= 1000000 − 4000 + 4 = 996004

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