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This video provides an algebraic proof for a binomial identity.
Algebraic Proof:  C(n,k)=C(n-1,k-1)+C(n-1,k)Algebraic Proof:  C(n,k)=C(n-1,k-1)+C(n-1,k)Algebraic Proof:  C(n,k)=C(n-1,k-1)+C(n-1,k)Algebraic Proof:  C(n,k)=C(n-1,k-1)+C(n-1,k)
Algebraic Proof:  C(n,k)=C(n-1,k-1)+C(n-1,k)