## Simplifying Polynomial Expressions: (7x^2+x+1)+(-6x^2-8x-10)

In mathematics, simplifying polynomial expressions involves combining like terms to create a more concise representation. Let's simplify the expression:
**(7x^2+x+1)+(-6x^2-8x-10)**

### Step 1: Identify Like Terms

Like terms are terms that have the same variable and exponent. In our expression, we have the following pairs of like terms:

**7x²**and**-6x²**(both have x² as the variable)**x**and**-8x**(both have x as the variable)**1**and**-10**(both are constant terms)

### Step 2: Combine Like Terms

To combine like terms, we simply add their coefficients:

**7x² + (-6x²) = x²****x + (-8x) = -7x****1 + (-10) = -9**

### Step 3: Write the Simplified Expression

Now, we combine the simplified terms to get the final simplified expression:

**(7x^2+x+1)+(-6x^2-8x-10) = x² - 7x - 9**

Therefore, the simplified form of the expression **(7x^2+x+1)+(-6x^2-8x-10)** is **x² - 7x - 9**.