Which is true about the degree of the sum and difference of the polynomials 3 x to the 5th power y minus 2 x cubed y to the 4th power minus 7 x y cubed and negative 8 x to the 5th power y plus 2 x cubed y to the 4th power plus x y cubed ?

In the sum, the terms with degree 7, −2x³y⁴ and 2x³y⁴, cancel. The remaining highest-degree term is −5x⁵y, which has degree 5 + 1 = 6. In the difference, subtracting the second polynomial gives a −4x³y⁴ term of degree 3 + 4 = 7, so the sum has degree 6 and the difference has degree 7.

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