The degree of the resulting polynomial, 5x^4^y² - x^3y - 12y + 8x, after subtraction is: degree 4.
How to Subtract Polynomials?
Given, (10x^4y^2 - 9x^3y - 9y) - (5x^4^y2 + 10x^3y + 12y - 8x), to subtract, open the parentheses using the distributive property.
10x^4y^2 - 9x^3y - 9y - 5x^4^y² - 10x^3y - 12y + 8x
Combine like terms together
10x^4y^2 - 5x^4^y² - 9x^3y - 10x^3y - 9y - 12y + 8x
5x^4^y² - x^3y - 12y + 8x
The highest degree is 4. This determines the degree of a polynomial.
Therefore, the degree of the resulting polynomial, 5x^4^y² - x^3y - 12y + 8x, after subtraction is: degree 4.
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