
3x^3-2y^3-6x^2y^2+xy


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The expression you provided is a polynomial:
3x^3 - 2y^3 - 6x^2y^2 + xy
Polynomials are algebraic expressions consisting of variables and coefficients, combined using addition, subtraction, and multiplication, where variables have non-negative integer exponents.
In this case, the polynomial has two variables, x and y, and four terms. Let's break down the expression:
Term 1: 3x^3 This term consists of the coefficient 3 and the variable x raised to the power of 3.
Term 2: -2y^3 This term consists of the coefficient -2 and the variable y raised to the power of 3.
Term 3: -6x^2y^2 This term consists of the coefficient -6 and the variables x and y, both raised to the power of 2.
Term 4: xy This term consists of the variables x and y, both raised to the power of 1 (which is often omitted).
So, the polynomial 3x^3 - 2y^3 - 6x^2y^2 + xy has four terms with different combinations of x and y, each with their respective coefficients and exponents.


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