Final answer:
The expression 6 - 4(3 - 6m) + 12m simplified and factored is equivalent to 6(-1 + 6m), which is the product of the two factors 6 and (-1 + 6m).
Step-by-step explanation:
To write the expression 6 - 4(3 - 6m) + 12m as the product of two factors, we first need to simplify the expression.
- Distribute the '-4' across the parentheses: -4 × 3 + (-4) × (-6m).
- Simplify inside the parentheses: -12 + 24m.
- Combine this result with the rest of the expression: 6 - 12 + 24m + 12m.
- Simplify by combining like terms: -6 + 36m.
- Notice that both terms are divisible by 6, so factor out the 6: 6(-1 + 6m).
Therefore, the expression equivalent to 6 - 4(3 - 6m) + 12m that is the product of two factors is 6(-1 + 6m).