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what happen to an expression that has a denominator of zero
There are no numbers that can do this, so we say “division by zero is undefined”. In simplifying rational expressions you need to pay attention to what values of the variable(s) in the expression would make the denominator equal zero. These values cannot be included in the domain, so they're called excluded values.
If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value is undefined. are not legal fractions. Their values are all undefined, and hence they have no meaning.
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