Final answer:
The expression 12b² - 6b is factorised by taking out the common factor of 6b, resulting in the fully factorised form of 6b(2b - 1).
Step-by-step explanation:
To factorise the expression 12b² - 6b, we need to look for common factors in each term. Here, 6 is a common factor, and so is b. By factoring out 6b from both terms, we get:
6b(2b - 1)
The expression 12b² - 6b is now fully factorised as the product of 6b and (2b - 1).