$1\mathrm{.}1$ Determine the Product of the following expression and simplify them: $1\mathrm{.}1\mathrm{.}1a(x^2+3y)+ax+4ay1\mathrm{.}1\mathrm{.}2(p-2)(p^2+2p+2)1\mathrm{.}2$ Factorise the following expressions fully: $1\mathrm{.}2\mathrm{.}12x^2-321\mathrm{.}3$ Solve for $x$ on the following equation: $1\mathrm{.}3\mathrm{.}1,\frac{x^2-3}{2}=x$