Answer
$3(1+9b+2c)$
Work Step by Step
The distributive law states that $a(b+c)=ab+ac$ (for real numbers $a$, $b$, and $c$).
The greatest common factor for the terms in the given expression is 3. Therefore, we can use the distributive property to factor out 3 from all three terms.
$3+27b+6c=3(1+9b+2c)$