Factorise $64 - (x + 1)^3$.[2] Hence, solve $64 - (x + 1)^3 = 15(3 - x)$, expressing non-integer

Question

Factorise $64 - (x + 1)^3$.[2] Hence, solve $64 - (x + 1)^3 = 15(3 - x)$, expressing non-integer roots in surd form.[2]

Accepted Answer

(a) $ (3 - x)(x^2 + 6x + 21)$ (b) $x = 3$ or $x = -3 \pm \sqrt{3} $

2024 GESS PRELIMS P1 Q2