3. Prove that for all positive integers n, 3 2 1³ + 2³ + 3²³ + + n³ = · (n(x + 1)) ². 2 a. Show it is true for n = 1. Show your work here: b. Assume it is true for n = k. Show your work here: c. Prove it is true for k + 1. Show your work here:

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