Factor completely first look for a common factor and check by multiplying If polynomialis a prime state this

27m^2-36+12

helper already answered this question correctly for you by going the way you typed it.

http://www.jiskha.com/display.cgi?id=1297391035

If you meant your middle term to be -36m, then you would have
27m^2-36m+12
= 3(9m^2 - 12m + 4)
= 3(3m-2)(3m-2) or 3(3m-2)^2