Find the Domain (x-y)(x^2+2xy+y^2)

Problem

ƒ(x,y)=(x−y)*(x2+2*x*y+y2)

Solution

1. Identify the type of function provided. The expression is a polynomial in two variables, x and y

2. Recall the definition of the domain for polynomial functions. Polynomials are defined for all real number inputs because they only involve addition, subtraction, and multiplication.

3. Check for restrictions. There are no denominators that could be zero, no square roots of negative numbers, and no logarithms of non-positive numbers.

4. Determine the domain. Since there are no restrictions, the domain consists of all possible pairs of real numbers (x,y)

Final Answer

Domain={(x,y)∈ℝ2}

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