Question

Find the sum of (x2+4x−2)+(6x2+6)

Answer 1

To find the sum of (x^2+4x−2) and (6x^2+6), combine like terms to get the final answer 7x^2 + 4x + 4.

Step-by-step explanation:

To find the sum of the two polynomials (x2+4x−2) and (6x2+6), we combine like terms. Here's how you do it step by step:

1. First, identify like terms. In this case, the like terms are the terms that contain x2 and the constant terms.
2. Next, add the coefficients of the x2 terms: 1x2 + 6x2 = 7x2.
3. After that, add the coefficients of the x terms: 4x (there is no x term in the second polynomial, so it's just 4x).
4. Lastly, add the constant terms: -2 + 6 = 4.

By combining all the like terms, we get the final answer: 7x2 + 4x + 4.