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Question
Find the square of the following numbers using the identity (a + b)2 = a2 + 2ab + b2:
209
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Solution
On decomposing:
209 = 200 + 9
Here, a = 200 and b = 9
Using the identity (a + b)2 = a2 + 2ab + b2:
2092 = (200 + 9)2 = 2002 + 2(200)(9) + 92 = 40000 + 3600 + 81 = 43681
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