The sum is a binomial with a degree of 6 after adding like terms, and the sum is -2xy⁵ + 3x⁴y option fourth is correct.
What is polynomial?
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
The question is incomplete.
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We have two polynomials:
3x²y² - 2xy⁵ and -3x²y² + 3x⁴y
Adding two polynomials:
= (3x²y² -2xy⁵) + (-3x²y² + 3x⁴y)
= -2xy⁵ + 3x⁴y
The expression represents a binomial with degree 6(1+5) because it has two terms.
Thus, the sum is a binomial with a degree of 6 after adding like terms and the sum is -2xy⁵ + 3x⁴y option fourth is correct.
Learn more about Polynomial here:
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