Answer:
The simplified sum of these polynomials is 3x^4y - 2xy^5
Step-by-step explanation:
In order to find this, we need to remember that we can only add together like terms in this case, there are only two like terms. Both of the first terms end in x^2y^2. So, we add these two together.
3x^2y^2 - 3x^2y^2 = 0
Since they cancel out, we simply just put the other two terms as our answer.
3x^4y - 2xy^5
The simplified sum of the given polynomials is: [tex]3x^4y - 2xy^5[/tex]
[tex]\begin{aligned} &= 3x^2y^2 - 2xy^5 + -3x^2y^2 + 3x^4y\\&= (3x^2y^2 - 3x^2y^2) - 2xy^5 + 3x^4y\\&= 3x^4y - 2xy^5\\\end{aligned}[/tex]
Thus, sum of given polynomials is: [tex]3x^4y - 2xy^5[/tex]
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