Final answer:
The expression 6 - 4(3 - 6m) + 12m can be simplified and then factored as -6 * (1 - 6m), which is the equivalent expression written as the product of two factors.
Step-by-step explanation:
To write the expression 6 - 4(3 - 6m) + 12m as a product of two factors, we first need to simplify the expression by applying the distributive property.
We distribute the -4 across the parentheses:
- 6 - 4 * 3 + 4 * 6m + 12m
- 6 - 12 + 24m + 12m
Then we combine like terms:
This expression can be factored as:
The expression -6 * (1 - 6m) is an equivalent expression to the original and is written as the product of two factors, -6 and (1 - 6m).