Find the Domain -8mn(3/4m^2+mn-1/2n^2)

Problem

−8*m*n*(3/4*m2+m*n−1/2*n2)

Solution

1. Identify the type of expression. The expression is a polynomial in two variables, m and n

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

3. Check for division by zero. There are no variables in the denominators of the coefficients 3/4 and 1/2 so no division by zero can occur.

4. Check for even roots of negative numbers. There are no radical signs or fractional exponents in the expression.

5. Determine the domain. Since there are no operations that restrict the input values, the variables m and n can be any real number.

Final Answer

Domain={(m,n)|m∈ℝ,n∈ℝ}

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