Find the product. Simplify your answer.

Question

6(3w2+w+2)

Answer 1

To find the product \( 6(3w^2 + w + 2) \), we will distribute \( 6 \) to each term inside the parentheses:

\[ 6(3w^2) + 6(w) + 6(2) \]

Calculating each term:

1. \( 6 \times 3w^2 = 18w^2 \)
2. \( 6 \times w = 6w \)
3. \( 6 \times 2 = 12 \)

Now, we can combine these results:

\[ 18w^2 + 6w + 12 \]

Thus, the simplified product is:

\[ \boxed{18w^2 + 6w + 12} \]