Simplify `((2011^2-2017)(2011^2+4022-3)(2012))/(2013.2014.2008.2010).`

Let f(n) denotes the square of the sum of the digits of natural number n,where f^(2)(n) denotes f(f(n)).f^(3)(n) denote f(f(f(n))) and so on.the value of (f^(2013)(2011)-f^(2011)(2011))/(f^(2013)(2011)-f^(2012)(2011)) is...

Let f(n) denotes the square of the sum of the digits of natural number n, where f^2(n) denotes f(f(n)).f^3(n) denote f(f(f(n))) and so on.the value of (f^2011(2011)-f^2010 (2011))/(f^2013 (2011)-f^2012 (2011)) is....

Let f(n) denotes the square of the sum of the digits of natural number n, where f^2(n) denotes f(f(n)).f^3(n) denote f(f(f(n))) and so on.the value of (f^2011(2011)-f^2010 (2011))/(f^2013 (2011)-f^2012 (2011)) is....

Let f(n) denotes the square of the sum of the digits of natural number n, where f^2(n) denotes f(f(n)).f^3(n) denote f(f(f(n))) and so on.the value of (f^2011(2011)-f^2010 (2011))/(f^2013 (2011)-f^2012 (2011)) is....

If cos^(-1)x+cos^(-1)y+cos^(-1)z=3pi ,then the value of x^(2012),+y^(2012)+z^(2012)+(6)/(x^(2011)+y^(2011)+z^(2011)) is equal to:

Let a=2010^(log_(2011)(2012)), b=2010^(log_(2012)(2011) and c=(2010)^2 then which of the following is the alternative?

if f(x) =(2013) x^(2012) -(2012)x^(2011)-2014x+1007 then show that for x in [0,1007^(1//2011)], f(x) =0 has at least one real root.

If f(x)=(2)/(4^(2)+2) for real numbers x, then f((1)/(2011))+f((2)/(2011))+...+f((2010)/(2011))*1005100410061008