Find the Domain x^2-2xy-15y^2

Problem

x2−2*x*y−15*y2

Solution

1. Identify the type of expression provided. The expression x2−2*x*y−15*y2 is a polynomial in two variables, x and y

2. Determine if there are any restrictions on the variables. Polynomials do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Conclude that the expression is defined for all real values of x and y In the context of functions of two variables, the domain is the entire Cartesian plane.

Final Answer

Domain:{(x,y)|x∈ℝ,y∈ℝ}

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