If the coefficient of `x^(21)` in the expansion of `(x^(2)+(3 lambda)/(x))^(15)` is `3640`, then the value of `lambda` equals

Find the coefficient of x^(24) in the expansion of (x^(2)-3(a)/(x))^(15)

The coefficient of x^(12) in the expansion of (4x+(5)/(x^(2)))^(21)

If the coefficient of x in the expansion of prod_(r=1)^(110)(1+rx) is lambda(1+110)(1+10+10^(2)) , then the value of lambda is

if the coefficients of x^(5)" and "x^(15) in the expansion of (x^(2)+(a)/(x^(3)))^(10) are equal then then the positive value of 'a' is:

The positive value of lambda for which the coefficient of x^(2) in the expression x^(2) (sqrt(x) + (lambda)/(x^(2)))^(10) is 720 is

If the coefficient of x^(2) and x^(3) in the expansion of (3+ax)^(11) are equal then a=_______

If the coefficients of x^(7) and x^(8) in the expansion of [2+(x)/(3)]^(n) are equal,then the value of n is :(A)15(B)45(C)55(D)56

If x - lambda is a factor of x^(4)-lambda x^(3)+2x+6 . Then the value of lambda is

If x(sgn x)(sgn x)+|x|(sgnx)^(3)=lambda x^(mu), then the value of lambda+mu is:

Find a if the coefficients of x^(2) and in the expansion of in the expansion of are equal.