a. Expand (1 + x) 3 . b. Use your answer to part a to express: i.

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a. Expand (1 + x)3.
b. Use your answer to part a to express:
i. (1 + √5 )3 in the form a + b√5
ii. (1 − √5 )3 in the form c + d√5.

c. Use your answers to part b to simplify (1 + √5)3 + (1 − √5)3.

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