# Is this hard? I think I remember Pythagoras!

Algebra Level 5

$\left | \sqrt{x^2+4y^2-4xy - 4y + 2x+2} - \sqrt{x^2+4z^2 - 4xz - 4z + 2x+17} \right |$

Given that $$2x+y+3z=6$$ and $$x+y+z=2$$, find the maximum value of the expression above.

Bonus: Are the values dependent on the variables? Which one?

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