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Question
Use an expansion formula to find the value.
(997)2
Sum
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Solution
It is known that, (a + b)2 = a2 + 2ab + b2 and (a − b)2 = a2 − 2ab + b2
(997)2
= (1000 − 3)2
= (1000)2 − 2 × 1000 × 3 + (3)2
= 1000000 − 6000 + 9
= 994009
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