Simplify : $(3 \sqrt{5}-5 \sqrt{2})(4 \sqrt{5}+3 \sqrt{2})$

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$(3 \sqrt{5}-5 \sqrt{2})(4 \sqrt{5}+3 \sqrt{2})$

$=12 \times 5-20 \sqrt{2} \times \sqrt{5}+9 \sqrt{5} \times \sqrt{2}-15 \times 2$

$=60-20 \sqrt{10}+9 \sqrt{10}-30$

$=30-11 \sqrt{10}$

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