Factorise `a^2x^2+(ax^2+1)x+a`

Explanation

`a2x^2+(ax^2+1)x+a`

`=a^2x^2+ax^3+x+a`

`=ax^3+a^2x^2+x+a`

`=ax^2(x+a)+1(x+a)`

`=(ax^2+1)(x+a)`, which are the required factors.