%2B(-6x%5E2-8x-10).jpeg "(7x^2+x+1)+(-6x^2-8x-10)")
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.