If x + 1/x = 4, find the values of (i) (x)^2 + 1/(x)^2 (ii) (x)^4 + 1/(x)^4 (iii) (x)^3 + 1/(x)^3 (iv) x − 1/x .

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If a - b = 3 and ab = 4, find a³ - b³.

If 2a - 3b = 3 and ab = 2, find the value of 8a³ - 27b³.