Final answer:
To multiply the expression (4c-6)² using the binomial squares pattern, you square each term in the expression and then use the formula (a-b)² = a² - 2ab + b². The expanded expression is 16c² - 48c + 36.
Step-by-step explanation:
To multiply the expression (4c-6)² using the binomial squares pattern, you square each term in the expression and then use the formula (a-b)² = a² - 2ab + b².
In this case, the expression (4c-6)² can be expanded as (4c)² - 2(4c)(6) + (6)².
The first term is (4c)², which simplifies to 16c². The second term is -2(4c)(6), which simplifies to -48c. And the last term is (6)², which simplifies to 36.
Therefore, (4c-6)² = 16c² - 48c + 36.