If `I,n` are positive integers, 0 < f < 1 and if `(7+4sqrt3)^n=I+f`, then the value of `(I+f)(1-f)=`

" If "(4+sqrt(15))^(n)=I+F" when "I," n are positive integers,"0ltFlt1" then "(I+F)(1-F)

If are positive integers, maximum value of x^(m) (a-x)^(n)" in (0,a) is :"

If a and b are positive integers such that N=(a+ib)^(3)-107i (where N is a natural number), then the value of a is equal to (where i^(2)=-1 )

If (2+sqrt(3))^n=I+f, whare I and n are positive integers and 0

If n be a positive integer, then prove that (1+i)^n+(1-i)^n=2^(n/2+1)."cos"((npi)/4)

If n is a positive integer, for (1+x)^(n) ,then sum_(r=0)^(n).^nC_(r)=

If n is a positive integer,then (1+i)^(n)+(1-1)^(n) is equal to

If n is a positive integer then int_(0)^(1)(ln x)^(n)dx is :