1. The problem is to multiply expressions using the distributive law, which states that for any numbers $a$, $b$, and $c$, we have $a(b+c) = ab + ac$. 2. This law allows us to multiply a single term by each term inside a parenthesis separately, then add the results. 3. For example, if we want to multiply $3(x+4)$, we apply the distributive law: $$3(x+4) = 3 \times x + 3 \times 4$$ 4. Simplifying each term: $$3x + 12$$ 5. So, the product of $3(x+4)$ using the distributive law is $3x + 12$. 6. This method ensures each term inside the parenthesis is multiplied correctly and no terms are missed or randomly multiplied.