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Answer :
For this case we have the following polynomials:
[tex] 19x ^ 3 + 44x ^ 2y + 17
y ^ 3 - 11xy ^ 2 + 2x ^ 2y - 13x ^ 3
[/tex]
Subtracting both polynomials we have the following expression:
[tex] (19x ^ 3 + 44x ^ 2y + 17) - (y ^ 3 - 11xy ^ 2 + 2x ^ 2y - 13x ^ 3)
[/tex]
Grouping similar terms we have:
[tex] x ^ 3 (19 + 13) + x ^ 2y (44 - 2) + 11xy ^ 2 - y ^ 3 + 17
[/tex]
Rewriting we have:
[tex] 32x ^ 3 + 42x ^ 2y + 11xy ^ 2 - y ^ 3 + 17
[/tex]
Answer:
A polynomial that corresponds to the subtraction of the multivariate polynomials is:
[tex] 32x ^ 3 + 42x ^ 2y + 11xy ^ 2 - y ^ 3 + 17 [/tex]
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Rewritten by : Barada
The polynomial y3 - 11xy2 + 2x2y - 13x3 corresponds to the subtraction
of multivariate polynomial because of the minus and plus sign in it. Also, the
variables cannot be easily added or subtracted because they are all different. Unlike
in the polynomial 19x3 + 44x2y + 17, it has no minus sign.
