The middle term in the expansion of (yx+xy )8 is.
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Find the coefficient of x9 in the expansion of (x2−3x1)9.
Expand the expression (2x−3)6
The value of r=1∑n(−1)r−1(r+1r)⋅nCr is
The sum of the coefficients of first three term in the expansion of (x−x23)m,x=0.
m being a natural number, is 559. Find the term of the expansion containing x3.
Using binomial theorem, write down the expansions of the following: (2x−3y)4
Find the number of terms in the expansions of the following: (2x+3y−4z)n
Coefficient of x6 in ((1+x)(1+x2)2(1+x3)3…(1+xn)n is
occurs in the expansion of (x2+1/x)2n
, prove that its coefficient is [31(4n−p)]![31(2n+p)]!(2n)!