Find the value of `( x - 1/x )( x + 1/x ) ( x^2 + 1/x^2 )` =

Find the value of ( 1/x + 1/y ) ( 1/x - 1/y ) ( 1/x^2 + 1/y^2 )

If x - 1/x = 3 , find the value of : ( a ) x^2 + 1/x^2 ( b ) x^4 + 1/x^4

If (x +1/x) = 2 , then find the value of (x^3 + 1//x^3) + (x^(18) + 1//x^(18))

Find the value of : ( x^(1/2 ) + x^(-1/2 ) ) times ( x^(1/4 ) + x^(-1/4 ) ) times ( x^(1/8 ) + x^(-1/8 ) ) times ( x^(1/8 ) - x^(-1/8 ) ) ( a ) x + 1/x ( b ) ( x^2 -1 )/x

If (x - 1/x) = 4 , find the value of (i) (x^(2) - 1/(x^(2))) , (ii) (x^(4) + 1/(x^(4))).

If x +(1)/(x) =2 , find the value of (x^2 +(1)/(x^2))(x^3 +(1)/(x^3))

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).