Answer:
Consider the rational expression:
To factor the expression, factor the numerator and denominator completely.
Given rational expression
Rewrite the numerator
Use
So, the factored expression is.
The domain of an expression is the set of all real numbers for which the expression is defined.
The rational expression is undefined when the denominator is zero, because division by zero is undefined. To find the domain of rational expression set denominator equal to zero and exclude those value from the domain.
So, the excluded value is.
Therefore, the domain of rational expression is.
Consider the rational expression:
To factor the expression, factor the numerator and denominator completely.
Given rational expression
Break middle term of numerator
Group pairs
Factor each pair
So, the factored expression is.
The rational expression is undefined when the denominator is zero, because division by zero is undefined. To find the domain of rational expression set denominator equal to zero and exclude those value from the domain.
So, the excluded value isand.
Therefore, the domain of rational expression is.