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Prove that sqrt(10)[(sqrt(10)+1)^(100)-(...

Prove that `sqrt(10)[(sqrt(10)+1)^(100)-(sqrt(10)-1)^(100)]` .

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`sqrt(10)[(sqrt(10)+1)^(100) - (sqrt(10) - 1)^(100)]`
` = 2sqrt(10)[.^(100)C_(1)(sqrt(10))^(99) + .^(100)C_(3)(sqrt(10))^(97)+.^(100)C_(5)(sqrt(10))^(95)+"….."+]`
` = 2[.^(100)C_(1)(sqrt(10))^(100) + .^(100)C_(3)(sqrt(10))^(98)+.^(100)C_(5)(sqrt(10))^(96)+"....."]`
`=2[.^(100)C_(1)(sqrt(10))^(50) + .^(100)C_(3)(sqrt(10))^(49) + .^(100)C_(5)(sqrt(10))^(48)+"......"]`
which is an even number.
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