# Hummus!

Algebra Level 3

If

$${ h }^{ 2 }+{ m }^{ 2 }+{ u }^{ 2 }=100\\ \\ { u }^{ 2 }+{ m }^{ 2 }+{ s }^{ 2 }=10\\ \\$$

then find the maximum value of $$(hu+mm+us)^2$$

Note:all the variables mentioned in the problem are real numbers

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