Prove that The value of `(x+1)(x-1)(x^2+1)` is `x^4-1`

If x^(2)-5x+1=0 , then the value of (x^(4) + (1)/(x^(2))) div (x^(2)+1) is

If x is real, prove that the value of the expression ((x-1)(x+3))/((x-2)(x+4) cannot be between 4/9 and 1.

If (x-(1)/(x))=4 , then the value of (x^(2)+(1)/(x^(2))) is :

If x+(1)/(x)=5 then what is the value of (x^(4)+(1)/(x^(2)))/(x^(2)-3x+1) ?

If x+(1)/(x)=17 , what is the value of (x^(4)+(1)/(x^(2)))/(x^(2)-3x+1) ?

If x + (1 / x) = (sqrt(3) + 1)/ 2 then what is the value of x^(4) + 1 / x^(4) ?

If (x-1/x)=4 then the value of (x^2+1/x^2) is