Many people try to pronounce February with both [r] /r/ (Show IPA)
sounds, as shown above. The common pronunciation [feb-yoo-er-ee] /ˈfɛb yuˌɛr i/
with the first [r] /r/
replaced by [y] /y/
is the result of dissimilation, the tendency of like sounds to become unlike when they follow each other closely. An additional influence is analogy with January.
Although sometimes criticized, this dissimilated pronunciation of February is used by educated speakers and is considered standard.