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The degree of the sum and difference of the polynomials are 6 and 7 respectively.
given polynomials are:
[tex]3x^5-2x^3y^4-7xy^3[/tex]
[tex]-8x^5y+2x^3y^4+xy^3[/tex]
the sum of polynomials = [tex]-5x^5y-6xy^3[/tex]
the difference of polynomials = [tex]11x^5y-4x^3y^4-8xy^3[/tex]
A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.
degree of sum = monomial with highest power = 5+1=6
degree of difference = monomial with highest power = 3+4 = 7
therefore, the degree of the sum and difference of the polynomials are 6 and 7 respectively.
to get more about polynomials refer to:
https://brainly.com/question/1600696