Question 1094589
<br>This is an ugly, unusual one....<br>
A clue to finding a way to factor it is that only the first term contains b.  So separate that term from the others and see what the expression looks like:<br>
(27b^3) + (-a^3-3a^2-3a-1)

or

(27b^3) - (a^3+3a^2+3a+1)<br>

Do you see what to do with it from there?<br>

(hint: what kind of factoring rules do you know that involve a term like 27b^3?)