Question

Which statement accurately describes the completely simplified sum of the polynomials 3x²y² - 2xy⁵ and 43x²y² + 3xʸ?

A. The sum is a trinomial with a degree of 5.
B. The sum is a trinomial with a degree of 6.
C. The sum is a binomial with a degree of 5.
D. The sum is a binomial with a degree of 6.

Answer 1

The completely simplified sum of the polynomials 3x²y² - 2xy⁵ and 43x²y² + 3xʸ is a trinomial with a degree of 6.

Step-by-step explanation:

The completely simplified sum of the polynomials 3x²y² - 2xy⁵ and 43x²y² + 3xʸ is:

(3x²y² - 2xy⁵) + (43x²y² + 3xʸ) = 3x²y² - 2xy⁵ + 43x²y² + 3xʸ

Combining like terms, we have: 46x²y² + 3xʸ - 2xy⁵

Therefore, the completely simplified sum of the polynomials is a trinomial with a degree of 6, so the correct answer is B. The sum is a trinomial with a degree of 6.