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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