What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?

Asked by maham237 @ 20/12/2020 in Mathematics viewed by 401 People

The sum is a trinomial with a degree of 5.
The sum is a trinomial with a degree of 6.
The sum is a binomial with a degree of 5.
The sum is a binomial with a degree of 6.

Answered by maham237 @ 20/12/2020

Answer:

The sum is a binomial with a degree of 6

Step-by-step explanation:

we have

$(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)$

Group terms that contain the same variable

$(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y$

$0-2xy^{5}+3x^{4}y$

$-2xy^{5}+3x^{4}y$

The sum is a binomial ( two terms) with a degree of 6

$-2xy^{5}$ has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)

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