If Ai,j be the coefficient of Aibjc2010−i−j in the expansion of (a+b−c)2010, then
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Find the number of irrational terms in the expansion of (51/6+21/8)100˙
Find (x+1)6+(x−1)6. Hence or otherwise evaluate (2+1)6+(2−1)6.
Find n, if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of (42+431)n is 6:1.
Find the value of ∑1≤i≤j≤n−1∑(ij)ncincj˙
then find the possible value of n˙
If the coefficient of the middle term in the expansion of (1+x)2n+2isα
and the coefficients of middle terms in the expansion of (1+x)2n+1
then relate α,βandγ˙
Find the middle term in the expansion of (x2+x21+2)n˙
Find the sum of the coefficients of all the integral powers of x
in the expansion of (1+2x)40˙