Find all ordered pairs of positive integers for which the numbers and are both positive integers.
%V0
Find all ordered pairs $(a,b)$ of positive integers for which the numbers $\dfrac{a^3b-1}{a+1}$ and $\dfrac{b^3a+1}{b-1}$ are both positive integers.
Školjka 
of positive integers for which the numbers 
and 
are both positive integers.