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(i) Use the relation y = x^2 to show that α^2, β^2 ,γ^2 are the roots of the equation y^3 - 2y^2 + y - 1 =0

(ii) Hence, or otherwise , find the value of S(4) .

(iii) Find the values of S(8) , S(12) and S(16)

I have solved the first and second part . I found S(4) to be 2. Any idea how to do part 3 ?