Learning Objectives
Introduction
Tutorial
Q and S do not equal 0.
Example 1: Multiply .
AND
In the denominator we factored a GCF and a trinomial.
AND
*Excluded values of the original den.
Also note that the values that would be excluded from the domain
are 0, 3, -6, and -3. Those are the values that makes the
original denominator equal to 0.
Example 2: Multiply .
AND
In the denominator we factored a trinomial.
AND
*Excluded values of the original den.
where Q, S, and R do not equal 0.
Step 2: Multiply
the rational expressions as shown above.
Example 3: Divide .
AND
Step 2: Multiply
the rational expressions as shown above.
*Rewrite as mult. of reciprocal
*Factor the num. and den.
*Simplify by
div. out the common factors of
3x and (x + 6)
*Multiply the den. out
*Excluded values of the original den. of product
In the denominator we factored a trinomial.
Example 4: Divide .
AND
Step 2: Multiply
the rational expressions as shown above.
*Rewrite as mult. of reciprocal
*Factor the num. and den.
*Simplifyby
div. out the common factors of
y, (y + 4), and (y - 4)
*Multiply the num. and den. out
*Excluded values of the original den. of quotient
& product
In the denominator we factored a GCF
and a difference of squares.
Practice Problems
To get the most out of these, you should work the problem out on your own and then check your answer by clicking on the link for the answer/discussion for that problem. At the link you will find the answer as well as any steps that went into finding that answer.
Practice Problems 1a - 1b: Perform the indicated operation.
Need Extra Help on these Topics?
http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut32_multrat.htm
This webpage helps you with multiplying and dividing rational expressions.
http://www.purplemath.com/modules/rtnlmult.htm
This website helps you with multiplying and dividing rational expressions.
Go to Get Help Outside the
Classroom found in Tutorial 1: How to Succeed in a Math Class for some
more suggestions.