Question

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

Answer 1

Answer:

${x}^{2} = x + 1 \\ x = {x}^{2} - 1 \\ {x}^{3} = { ({x}^{2} - 1)}^{3} \\ = (x - 1) {}^{3} (x + 1) {}^{3}$