What is the simplified difference among the terms 4w^2, 4w, 8, 2w^2, 3w, and 6?

To simplify the expression containing the terms 4w², 4w, 8, 2w², 3w, and 6, we first need to group similar terms based on their variables and degrees.

The terms can be classified as follows:

• Quadratic terms (w²): 4w² and 2w²
• Linear terms (w): 4w and 3w
• Constant terms: 8 and 6

Now, let’s combine each category:

1. Quadratic Terms:

4w² + 2w² = (4 + 2)w² = 6w²

2. Linear Terms:

4w + 3w = (4 + 3)w = 7w

3. Constant Terms:

8 + 6 = 14

Now, combine all the simplified parts together:

6w² + 7w + 14

This final expression is your simplified result. It represents the combined effect of all the provided terms in an organized way, highlighting each component’s contribution.

I hope this clears up your question about simplifying the difference among these algebraic expressions!