  In a recent paper (arXiv:1211.6372), Bergelson and Tao proved that if $G$ is
a $D$-quasi-random group, and $x$,$g$ are drawn uniformly and independently
from $G$, then the quadruple $(g,x,gx,xg)$ is roughly equidistributed in the
subset of $G^4$ defined by the constraint that the last two coordinates lie in
the same conjugacy class. Their proof gives only a qualitative version of this
result. The present notes gives a rather more elementary proof which improves
this to an explicit polynomial bound in $D^{-1}$.
