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Absolutely Nothing is Allowed Here by flickr user Vicki & Chuck Rogers
Restrictions!
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Simplify the following expressions and state any restriction
a) 4x + 4 8x2 + 8x
b) 4t2 12t +94t2 9__
a) factorb) restrictionsc) simplify
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why were they "expressıons"
and not "equatıons" ?
Quick Question
Answer: Equations equal something
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Operations on Rational Expressions
II Mulitplication
• factor and reduce to simplest form• multiply numerators, then denominators
Remember! Any factor in
the numerator can reduce
with any factor in the
denominator
... follow the same rules as operations on fractions (rational numbers)
6 + 52
a) b) 2x + 32
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Operations on Rational Expressions
II Mulitplication
• factor and reduce to simplest form• multiply numerators, then denominators
Remember! Any factor in
the numerator can reduce
with any factor in the
denominator
... follow the same rules as operations on fractions (rational numbers)
factor out a 1
a) factorb) restrictionsc) simplify
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Multiplying Rational Expressions
Multiply the numerators
Multiply the denominator
Factor and then divide by the common factors
a) factorb) restrictionsc) simplify
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What are the restrictions?
Sometimes it is easier to factor the expressions first and then multiply the remaining factors.
a) factorb) restrictionsc) simplify
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Division of Rational Expressions
Rational expressions can be divided using the same rules as fractions (Which are rational expressions).
2 5 3 7÷
Example :
Multiply by the reciprical of the second term
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Example:
8m3 5m2____ ____3n2 6n÷
a) factor
b) restrictions
e) simplify
c) invert
d) additional restrictions(Check for additional restrictions after inverting)
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÷÷
÷Example:
Simplify x2 x 20 x2 + 9x + 20____________________x2 6 x2 12x + 36
a) factorb) restrictions
e) simplify
c) invertd) additional restrictions
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Assignment
Page 163
14, 5 42 odd