What Algebraic Identities Are Needed?

Algebra Level 3

\[ \large \left( 2\sqrt [ 3 ]{ 5 } -\sqrt [ 3 ]{ 2 } \right) \left( 4\sqrt [ 3 ]{ 25 } +2\sqrt [ 3 ]{ 10 } +\sqrt [ 3 ]{ 4 } \right) = \, ? \]

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