One more of those

Algebra Level 4

1330xy+3192yz1330xy+3192yz

Find the maximal value of the expression above if x2+y2+z2=1x^2+y^2+z^2=1, where x,yx,y and zz are real numbers.

Bonus question: Find the maximal value of axy+byzaxy+byz if x2+y2+z2=1x^2+y^2+z^2=1.

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