Higher Paper 2

\begin{aligned} &(x + 5)(x - 3)(x + 2) \\ &= (x + 5)[(x - 3)(x + 2)] \\ &= (x + 5)(x^2 - x - 6) \\ &= x(x^2 - x - 6) + 5(x^2 - x - 6) \\ &= x^3 - x^2 - 6x + 5x^2 - 5x - 30 \\ &= x^3 + 4x^2 - 11x - 30. \end{aligned}