Question:
Factorize: \[ 6ab-b^2+12ac-2bc \]
Solution:
\[ 6ab-b^2+12ac-2bc \]
\[ =(6ab-b^2)+(12ac-2bc) \]
\[ =b(6a-b)+2c(6a-b) \]
\[ =(6a-b)(b+2c) \]
\[ \boxed{(6a-b)(b+2c)} \]
Factorize: \[ 6ab-b^2+12ac-2bc \]
\[ 6ab-b^2+12ac-2bc \]
\[ =(6ab-b^2)+(12ac-2bc) \]
\[ =b(6a-b)+2c(6a-b) \]
\[ =(6a-b)(b+2c) \]
\[ \boxed{(6a-b)(b+2c)} \]