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Domains of Rational Expressions These two expressions are the ones I am supposed to use to base my work.The domain of a rational expression of an algebraic expression is the set of all real numbers for which the expression is defined. The real numbersystem does not allow for division by zero. Zero cannot be in the denominator of any expression. This means that the expression is undefined for whatever values make the denominator equal to zero.In my first expression once you factorout the expression mfrom the expression, you have to reduce the expression by cancelling out the common factors from the numerator and denominator.