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The value of the expression (2^(1004)+5^(1005))^2-(2^(1004)-5^(1005))^2 is $k\cdot10^{1004}$ for some positive integer $k$ . What is $k$ ?

0

1024

2

+212

The value of the expression (2^(1004)+5^(1005))^2-(2^(1004)-5^(1005))^2 is $k\cdot10^{1004}$ for some positive integer $k$ . What is $k$ ?

Filliqq Aug 16, 2020

2⁺¹ Answers

-3

k = 16.

Guest Aug 16, 2020

+4

The LHS reduces to 2 x 10^1005

2 x 10^1005 =k * 10^1004

k =[2 x10^1005] / [10^1004] =2 x 10

k =20

Guest Aug 16, 2020

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