Final answer:
To find the product of -6(3m²+2m), apply the distributive property: multiply -6 by 3m² and 2m separately and combine the results to get -18m² - 12m.
Step-by-step explanation:
The question requires us to find the product and simplify the answer of the expression -6(3m²+2m). To do this, we need to apply the distributive property of multiplication over addition, which states that a(b+c)=ab+ac. We multiply -6 by each term inside the parentheses separately.
First, we multiply -6 by 3m²:
-6 × 3m² = -18m²
Then we multiply -6 by 2m:
-6 × 2m = -12m
Now, combine the two products to simplify the answer: