Lesson 1
1. Lesson 1
1.10. Explore 6
Module 5: Rational Expressions
In Try This 3, you may have noticed that multiplying a rational expression like 
by 
produces an equivalent rational expression, 
. Multiplying a rational expression by a fraction equivalent to 1 will always create an equivalent expression. However, by multiplying by a variable, you may introduce new non-permissible values.
How did you know the two expressions were equivalent? Because 
Therefore, by the property of 1, the expressions are equivalent for t ≠ 0, −2.
Read “Example 2” on pages 218 and 219 of your textbook for an explanation of how to generate equivalent expressions. As you follow the process that takes a rational expression to an equivalent expression, consider the following: How could you take the equivalent expression and convert the expression back to the original rational expression?
Record your ideas in your course folder. You will look at this process again later in the lesson.
Self-Check 3
Complete questions 3 and 9 on page 223 of your textbook. Answers