a. Given that (x 2 + 4/x) 3 (x 2 4/x) 3 = ax 3

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a. Given that (x2 + 4/x)3 – (x2 – 4/x)3 = ax3 + b/x3, find the value of a and the value of b.

b. Hence, without using a calculator, find the exact value of (2 + 4/√2)3 – (2 – 4/√2)3.

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