Note: [sqrt(3)+sqrt(2)]^2 = 2sqrt(6)+5
Therefore,
expression=10[[sqrt(3)+sqrt(2)]^2-[sqrt(3)+sqrt(2)][9sqrt(3)+11sqrt(2)]
=[sqrt(3)+sqrt(2)][sqrt(3)-sqrt(2)]
=1
Note: [sqrt(3)+sqrt(2)]^2 = 2sqrt(6)+5
Therefore,
expression=10[[sqrt(3)+sqrt(2)]^2-[sqrt(3)+sqrt(2)][9sqrt(3)+11sqrt(2)]
=[sqrt(3)+sqrt(2)][sqrt(3)-sqrt(2)]
=1
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