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Simplifying

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Simplifying Multiplying and Dividing Rational Expressions A rational expression is a fraction. It may just have numbers, or it may consist of polynomials in the ... – PowerPoint PPT presentation

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Title: Simplifying


1
Simplifying
Rational Expressions
2
Multiplying and Dividing Rational Expressions
A rational expression is a fraction. It may just
have numbers, or it may consist of polynomials in
the fractions.
3
Goal
We are going to add, subtract, multiply and
divide rational expressions.
4
Now, lets go through the steps to simplify a
rational expression.
5
Simplify
6
Step 1 Factor the numerator and the denominator
completely looking for common factors.
Next
7
What is the common factor?
Simply cancel out everything you can. In this
case we can cancel (x-1)
8
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9
Lets go through another example.
Factor out the GCF
Next
10
1
1
11
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12
Now try to do some on your own.
13
 
 
14
Multiply
15
Remember how to multiply fractions
First you multiply the numerators then multiply
the denominators.
16
The same method can be used to multiply rational
expressions.
17
Lets do another one.
Step 1 Factor the numerator and the
denominator.
Next
18
Step 2 Cancel out the common factors.
19
Final Answer
20
Division
21
Remember how to divide fractions?
Multiply by the reciprocal of the divisor.
Rip Skip Flip
22
Dividing rational expressions uses the same
procedure.
Ex Simplify
23
Next
24
Final Answer
25
Now you try to simplify the expression
26
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27
Now try these on your own.
28
Here are the answers
29
Add and Subtract
Find common denominators. Then combine like
terms.
30
Homework Time
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