Mathematics

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

(1003)2

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Answer

(1003)2 = (1000 + 3)2

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

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

= 1000000 + 6000 + 9 = 1006009

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