In this question, we are required to find
[tex]2 {x}^{2} - 3x {y}^{3} [/tex]
When, x = -2 and y = -1
We just need to plug the values of x and y in the given polynomial to get our required answer.
Given, Polynomial in variable x and y,
[tex]2 {x}^{2} - 3x {y}^{3} [/tex]
Plugging values of x and y,
[tex]2 {( - 2)}^{2} - 3( - 2)( - 1) {}^{3} [/tex]
According to PEMDAS, we need to do the exponents first, So let's simplify the exponents,
[tex]2(4) - 3( - 2)( - 1)[/tex]
Opening the parantheses and finding the answer,
[tex]2 \times 4 - 3 \times - 2 \times - 1[/tex]
[tex]8 -6[/tex]
[tex] \boxed{ \red{2}}[/tex]
This is our required answer !!
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