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Mathematics

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

(101)2

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Answer

(101)2 = (100 + 1)2

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

(100 + 1)2 = (100)2 + 2(100)(1) + (1)2

= 10000 + 200 + 1 = 10201

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