Alternating cubes

Algebra Level 4

\[ \large { 1 }^{ 3 }-{ 2 }^{ 3 }+{ 3 }^{ 3 }-{ 4 }^{ 3 }+\cdots+{ 99 }^{ 3 }-{ 100 }^{ 3 }+{ 101 }^{ 3 } = \ ? \]

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