x^(2)+x-1

The factor of x^8 + x^4 +1 are (A) (x^4 + 1 - x^2), (x^2 +1 +x), (x^2 + 1 - x ) (B) x^4 + 1 -x^2 , (x^2 - 1 + x), (x^2 +1 + x) (C ) (x^4 - 1 + x^2, (x^2 - 1 + x), (x^2 + 1 + x) (D) (x^4 -1 + x^2), (x^2 + 1 - x), (x^2 + 1 +x)

simplify (2x-(1)/(2x))^(2)-(2x+(1)/(2x))(2x-(1)/(2x))

(1-2x+x^(2))/(1-x^(3))times(1+x+x^(2))/(1+x)

Let f(x)=x+(1-x)x^(2)+(1-x)(1-x^(2))x^(3)+............+(1-x)(1-x^(2)).........(1-x^(n-1))x^(n);(n) then :

f(x) = {((2x+1), x lt 1),(2,x=1),(x^(2)+1, x gt 1):} is

f(x) = {((2x+1), x lt 1),(2,x=1),(x^(2)+1, x gt 1):} is