If (a)^2 − 1/(a)^2 = 5, evaluate (a)^4 + 1/(a)^4 .

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If a + 2b + 3c = 0, prove that a³ + 8b³ + 27c³ = 18abc.

If 2x = 3y - 5, then find the value of 8x³ - 27y³ - 90xy + 125.