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If x 2 = x + 1, find x 3 , giving your answer in the form ax + b.

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Answer:

[tex] {x}^{2} = x + 1 \\ x = {x}^{2} - 1 \\ {x}^{3} = { ({x}^{2} - 1)}^{3} \\ = (x - 1) {}^{3} (x + 1) {}^{3} [/tex]