Given:
The polynomials are:
[tex]3x^2y^2-2xy^5[/tex]
[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]
To find:
The completely simplified sum of the polynomials.
Solution:
We have,
[tex]3x^2y^2-2xy^5[/tex]
[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]
The sum of given polynomials is:
[tex]Sum=3x^2y^2-2xy^5-3x^2y^2+3x^2y^2+3x^4y[/tex]
[tex]Sum=-2xy^5+3x^4y+3x^2y^2[/tex]
Therefore, the sum of the given polynomials is [tex]-2xy^5+3x^4y+3x^2y^2[/tex]. It is a polynomial with degree 6 and leading coefficient -2.
