# One more of those

Algebra Level 4

$1330xy+3192yz$

Find the maximal value of the expression above if $$x^2+y^2+z^2=1$$, where $$x,y$$ and $$z$$ are real numbers.

Bonus question: Find the maximal value of $$axy+byz$$ if $$x^2+y^2+z^2=1$$.

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