Think! Don't substitute!

Algebra Level 2

\[ 1 + a + 2b + 3c + 2ab + 3ac + 6bc + 6abc\]

We are given that \(a = \color{red}{999} , b = \color{blue}{666} , c = \color{green}{333}\). Find the value of the expression above.

Hint: Try to factorize the expression.

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