Mathematics

Use (a - b)2 = a2 - 2ab + b2 to evaluate the following:

(997)2

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Answer

(997)2 = (1000 - 3)2

Using (a - b)2 = a2 - 2ab + b2,

(1000 - 3)2 = (1000)2 - 2(1000)(3) + (3)2

= 1000000 - 6000 + 9 = 994009

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