# Algebra II : Definition of Rational Expression

## Example Questions

### Example Question #1 : Rational Expressions

Which of the following fractions is NOT equivalent to ?

Explanation:

We know that is equivalent to or .

By this property, there is no way to get from .

Therefore the correct answer is .

### Example Question #2 : Rational Expressions

Determine the domain of

All real numbers

Explanation:

Because the denominator cannot be zero, the domain is all other numbers except for 1, or

### Example Question #1 : Definition Of Rational Expression

Simplify:

Explanation:

This problem is a lot simpler if we factor all the expressions involved before proceeding:

Next let's remember how we divide one fraction by another—by multiplying by the reciprocal:

In this form, we can see that a lot of terms are going to start canceling with each other. All that we're left with is just .

### Example Question #1 : Definition Of Rational Expression

Which of the following is the best definition of a rational expression?