The expansion 1+x,1+x+x2,1+x+x2+x3,….1+x+x2+…+x20 are multipled together and the terms of the product thus obtained are arranged in increasing powers of x in the form of a0+a1x+a2x2+…, then, Sum of coefficients of even powers of x is
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Prove that 10[(10+1)100−(10−1)100] is an even integer .
Find the coefficient of x7 in the expansion of (1+3x−2x3)10˙
Expand of the expression : (2x−3)6
Find the sum ∑0≤i<j≤n∑ nCinCj
If the third term in the expansion of (1+x)mis−81x2,
then find the value of m˙
Find the sum ∑0≤i<j≤n∑nCi
Find the coefficient of x4
in the expansion of (1+x+x2+x3)11˙