(a) Show that 3 ( 1)3 = 32 3 + 1. (b) Write 3 = 3 ( 1)3 +

Chapter , Problem 13.2.44

(choose chapter or problem)

(a) Show that 3 ( 1)3 = 32 3 + 1. (b) Write 3 = 3 ( 1)3 + ( 1)3 ( 2)3 + ( 2)3 23 + 23 13 + 13 03 and then show 3 = =1 (32 3 + 1). (c) Use the result =1 = 1 2 ( + 1) to show that =1 2 = 6 ( + 1)(2 + 1).

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