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Question
Use an expansion formula to find the value.
(97)2
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Solution
It is known that (a + b)2 = a2 + 2ab + b2 and (a − b)2 = a2 − 2ab + b2
(97)2
= (100 − 3)2
= (100)2 − 2 × 100 × 3 + (3)2
= 10000 − 600 + 9
= 9409
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