Paper 2 · Calculator

Factorise completely $3x^2 - 12$.

Rearrange the formula $P = \sqrt{\dfrac{2m + k}{m - k}}$ to make $m$ the subject.

Given that $x^2 + bx + c = (x + d)^2 + 3$, where $b$, $c$, and $d$ are constants, find an expression for $c$ in terms of $b$.