Find the Domain 81x^3-375y^3

Problem

81*x3−375*y3

Solution

1. Identify the type of expression. The expression 81*x3−375*y3 is a polynomial in two variables, x and y

2. Determine the restrictions. Polynomials are defined for all real number values of their variables because they involve only addition, subtraction, and multiplication.

3. Check for denominators or roots. Since there are no variables in a denominator and no even-indexed roots (like square roots), there are no values that would make the expression undefined.

4. State the domain. The domain consists of all possible ordered pairs (x,y) in the set of real numbers.

Final Answer

Domain={(x,y)|x∈ℝ,y∈ℝ}

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