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Prove that ^n C0^(2n)Cn-^n C1^(2n-1)Cn+^...

Prove that `^n C_0^(2n)C_n-^n C_1^(2n-1)C_n+^n C_2xx^(2n-2)C_n++(-1)^n^n C_n^n C_n=1.`

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