Let's say if I know that $V \gg x^2$,
I know that for example:
$x^2 +V\sim V$,
however, if I have
$x^2 - V$,
can I still say that this equals
$x^2 - V\sim -V$?
Basic intuition tells me this must be so, based on taking numerical examples, i.e., if $1000 \gg 1$, then $1 - 1000 = -999 \sim -1000$ etc..., but I'm unsure if it is true in general.
Apologies in advanced for the basic question!