IIT JEE BINOMIAL THEOREM Prove that `"^n C_0^(2n)C_n-^n C_1^(2n-1)C_n+^n C_2xx^(2n-2)C_n++(-1)^n^...

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IIT JEE BINOMIAL THEOREM Prove that `^n C_0^(2n)C_n-^n C_1^(2n-2)C_n+^n C_2^(2n-4)C_n-=2^ndot` IIT JEE BINOMIAL THEOREM Prove that `^n C_0^(2n)C_n-^n C_1^(2n-2)C_n+^n C_2^(2n-4)C_n-=2^ndot`
Prove that `(^(2n)C_0)^2+(^(2n)C_1)^2+(^(2n)C_2)^2-+(^(2n)C_(2n))^2-(-1)^n^(2n)C_ndot` Prove that `(^(2n)C_0)^2+(^(2n)C_1)^2+(^(2n)C_2)^2-+(^(2n)C_(2n))^2-(-1)^n^(2n)C_ndot`
Find value of C0 + 2*C1 + 3*C2 + ... + (n+1)*Cn. Find value of C0 + 2*C1 + 3*C2 + ... + (n+1)*Cn.
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Prove coefficient of middle terms of (1+x)^(2n-1) add up to equal middle term of (1+x)^(2n). Prove coefficient of middle terms of (1+x)^(2n-1) add up to equal middle term of (1+x)^(2n).
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