grep for a process without grep returning grep

Searching for a process with grep, in addition to the search term, the output also includes the grep statement itself:

jemurray@shell:~$ ps -ef | grep bgp
jemurray  8054 23273  0 19:38 pts/7    00:00:00 grep bgp
jemurray 25310 14989  0 Jul22 pts/2    00:28:29 ./bgpalerter-linux-x64

By putting one of the search term characters between []’s, grep is no longer returned in the results:

jemurray@shell:~$ ps -ef | grep [b]gp
jemurray 25310 14989  0 Jul22 pts/2    00:28:29 ./bgpalerter-linux-x64