Find the Domain -18a^4b^4-18a^2b^2+18ab-24a^2b

Problem

−18*a4*b4−18*a2*b2+18*a*b−24*a2*b

Solution

1. Identify the type of expression provided. The expression −18*a4*b4−18*a2*b2+18*a*b−24*a2*b is a polynomial in two variables, a and b

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

3. Determine if there are any restrictions. Since there are no denominators containing variables, no square roots of negative numbers, and no logarithms, there are no values of a or b that would make the expression undefined.

4. State the domain in terms of all real numbers for both variables.

Final Answer

Domain: *{(a,b)|a∈ℝ,b∈ℝ}

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