(3+7x)^(n)" when "x=(4)/(5),n=15

Prove that : Compute numerically ireatist term (s) in the expansionly of (3x-5y)^(n) when x=(3)/(4),y=(2)/(7)" and "n=17

If (7x-1)/(1-5x+6x^(2)) is expanded in ascending powers of x when |x|<(1)/(3), then the cofficient of x^(n) is -A.2^(n)+4.3^(n), then A=

find the value of the polynomial 3x^(3)-4x^(2)+7x-5, , when x=3 and also when x=-3.

find the value of the polynomial 3x^(3)-4x^(2)+7x-5, , when x=3 and also when x=-3.

Using mathematical induction prove that x+4x+7x+......+(3n-2)x=(1)/(2)n(3n-1)x

Find the set of values of x, satisfying 7x + 3 ge 3x - 5 and (x)/(4) - 5 le (5)/(4) - x , where x in N .

The number of divisors of the natural number N where N=2^(5)x3^(5)x5^(2)x7^(3) of the form 4n+2,n in W is

Show that (n^5)/(5) + (n^3)/(3) + (7n)/(15) is a natural number for all n in N

coefficient of x^(15) in (1+x+x^(3)+x^(4))^(n) is