Find the Domain 5x^2y*(3xy)*(4x^2y)

Problem

5*x2*y⋅(3*x*y)⋅(4*x2*y)

Solution

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

2. Analyze the components for any restrictions. Polynomials consist of variables raised to non-negative integer powers and multiplied by constants.

3. Check for operations that restrict the domain, such as division by zero, square roots of negative numbers, or logarithms of non-positive numbers. None of these operations are present in this expression.

4. Determine the domain based on the properties of polynomials. Since there are no denominators or radicals, the variables x and y can take any real number value.

Final Answer

Domain:{(x,y)|x∈ℝ,y∈ℝ}

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