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Simplify the expression:

[tex]21x^3 - 19x^2y + 22xy^2[/tex]

Answer :

It looks like we are working with a polynomial expression: [tex]\(21x^3 - 19x^2y + 22xy^2\)[/tex].

However, the question isn't entirely clear, as it doesn't specify what needs to be done with the polynomial. We can look at what types of operations are often performed with polynomials, such as simplification, factoring, or evaluating the polynomial for specific values of [tex]\(x\)[/tex] and [tex]\(y\)[/tex]. Since there are no specific instructions provided, let's break down the polynomial into its terms for a better understanding:

1. Terms of the Polynomial:
- First Term: [tex]\(21x^3\)[/tex]
- This term indicates a coefficient of 21 with a variable [tex]\(x\)[/tex] raised to the power of 3.
- Second Term: [tex]\(-19x^2y\)[/tex]
- This term has a coefficient of [tex]\(-19\)[/tex], with variables [tex]\(x\)[/tex] squared and [tex]\(y\)[/tex].
- Third Term: [tex]\(22xy^2\)[/tex]
- This term has a coefficient of 22, with variable [tex]\(x\)[/tex] and [tex]\(y\)[/tex] squared.

Each term here is part of this polynomial expression. Without additional instructions (such as solving, factoring, or substituting specific values), this is how the polynomial is structured and can be understood.

If you have a specific question about this polynomial, like factoring it or evaluating it for certain values of [tex]\(x\)[/tex] and [tex]\(y\)[/tex], feel free to provide more information!

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