The equation `(x-n)^m+(x-n^2)^m+(x-n^3)^m+.....+(x-n^m)^m=0` (m is odd positive integer), has

(x^l /x^m)^n.(x^m/x^n)^l. (x^n/x^l)^m=

n|sin x|=m|cos|in[0,2 pi] where n>m and are positive integers

If m, n and p are arbitrary integers, show that the equation x^(3m)+x^(3n+1)+x^(3p+2)=0 is satisfied by the roots of the equations x^(2)+x+1=0

Evaluate Lt_(xtooo)(a_(0)x^(m)+a_(1)x^(m-1)+...+a_(m))/(b_(0)x^(n)+b_(1)x^(n-1)+...+b_(n)) where m and n are positive integers and a_(0)ne0,b_(0)ne0 .

In the expansion of (1+x)^(m+n) , where m & n are +ve integers, prove that the coefficients of x^m and x^n are equal.

If m and n are +ve integers and m>n and if (1+x)^(m+n)(1-x)^(m-n) is expanded as a polynomial in x ,then the coefficient of x^(2) is