## Simplifying the Expression: (3x + 4) + ((5x^2 - 1) + (2x + 6))

This expression involves combining terms with different powers of *x*. Let's break it down step by step to simplify it.

### 1. Removing Parentheses

We start by removing the parentheses. Remember, a plus sign in front of a parenthesis doesn't change the signs inside.

(3x + 4) + ((5x^2 - 1) + (2x + 6)) becomes:

3x + 4 + 5x^2 - 1 + 2x + 6

### 2. Combining Like Terms

Now, we combine the terms with the same powers of *x*:

**x^2 terms:**There's only one term with x^2, which is**5x^2****x terms:**We have 3x and 2x, which combine to**5x****Constant terms:**We have 4, -1, and 6, which combine to**9**

### 3. The Simplified Expression

Putting it all together, the simplified expression is:

**5x^2 + 5x + 9**

### Conclusion

By carefully applying the order of operations and combining like terms, we've simplified the complex expression into a much more manageable form.