Answer:
Step-by-step explanation:
Sure, let's break down the expression step by step.
\(6 - 4 \times (3 - 6m) + 12m\)
First, distribute the \(4\) across the expression inside the parentheses:
\(6 - 4 \times 3 + 24m + 12m\)
Now, perform multiplication and combine like terms:
\(6 - 12 + 36m + 12m\)
Combine similar terms:
\(-6 + 48m\)
Now, let's express this as a product of two factors. We can see that \(48m\) and \(-6\) have a common factor of \(6\):
\(6(8m - 1)\)
So, the expression \(6 - 4 \times (3 - 6m) + 12m\) simplifies to \(6(8m - 1)\), which is the product of the factors \(6\) and \((8m - 1)\).
