Final answer:
The completely Simplifying Polynomials sum of the given polynomials 3x²y²-2xy⁵ and -3x²y²+3x⁴y is -2xy⁵ + 3x⁴y. This sum is obtained by combining like terms.
Step-by-step explanation:
The given polynomials are 3x²y²-2xy⁵ and -3x²y²+3x⁴y. To find the simplified sum of these polynomials, one needs to combine like terms. Identifying the like terms, we notice that 3x²y² and -3x²y² are alike. Hence, their combination yields 0. Thus, the main answer to your question is the completely simplified sum of the two polynomials is -2xy⁵ + 3x⁴y. Here, the coefficients of terms containing the same variables are added. Note that the order of addition does not change the answer making it similar to the addition of real numbers, where 2+3 gives the same result as 3+2.
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