The coefficient of `t^4` in the expansion of `((1 - t^6)/(1-t))^(3)` is 3k. The value of k is _________.

Find the coefficient of t^(8) in the expansion of (1+2t^(2)-t^(3))^(9)

The coefficient of t^(4) in ((1-t^(6))/(1-t))^(3) (a) 18 (b) 12( c) 9(d)15

Statement 1: The coefficient of t^(49) in the expression (t+1)(t+2)(t+3),(t+50) is equal to 1075. Statement- -2 The value of sum_(k=1)^(2n)k=n(2n+1)

If x = 3 tan t and y = 3 sec t then the value of (d^2y)/(dx^2) at t = pi/4 , is 1/(ksqrt2) . The value of k is _________.

The sum of the coefficients of all even degree terms in x in the expansion of (x+sqrt(x^(3)-1))^(6)+(x-sqrt(x^(3)-1))^(6) , (xlt1) is equal to 4k. The value of k is ________

If t+(1)/(t)=8 ,find the value of t^(3)+(1)/(t^(3)) .

The value of (T_(3))/(T_(1)) is