Add the following expressions:
`2x^(2), -5x^(2) - x^(2), 6x^(2)`

Answer

To add the expressions \(2x^2\), \(-5x^2 - x^2\), and \(6x^2\), we can follow these steps:

### Step 1: Write down the expressions
We start with the expressions:
\[ 2x^2, \quad -5x^2 - x^2, \quad 6x^2 \]

### Step 2: Combine like terms
First, we need to combine the terms in the second expression:
\[ -5x^2 - x^2 = -5x^2 - 1x^2 = -6x^2 \]
Now, we can rewrite all the expressions:
\[ 2x^2, \quad -6x^2, \quad 6x^2 \]

### Step 3: Add the expressions together
Now we can add all three expressions:
\[ 2x^2 + (-6x^2) + 6x^2 \]

### Step 4: Combine the coefficients
We can combine the coefficients of \(x^2\):
\[ (2 - 6 + 6)x^2 \]
Calculating the coefficients:
\[ 2 - 6 = -4 \]
\[ -4 + 6 = 2 \]

### Step 5: Write the final answer
Thus, the sum of the expressions is:
\[ 2x^2 \]

### Final Answer:
The result of adding the expressions \(2x^2\), \(-5x^2 - x^2\), and \(6x^2\) is:
\[ \boxed{2x^2} \]