# Prove that the coefficient of x^n in the expansion of (1 + x)^2n is twice the coefficient of x^n in the expansion of (1+x)^2n-1

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Prove that the coefficient of xn  in the expansion of (1 + x)2n is twice the coefficient of xn in the expansion of (1+x)2n-1

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In (1 + x)2n we have

From (1) and (2) we get, the coefficient of xn  in (1 + x)2n is twice the coefficient of xn  in (1 + x)2n-1.