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Simplifying Rational Functions with Factoring and GCFs  Problem 7
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
If you have a binomial in top of a fraction and monomial in the bottom, many students get confused about which parts can be reduced. Here, we look at a strategy of rewriting the fraction as two separate fractions, and then reducing each one separately. This technique is commonly used in simplifying in the last step of the quadratic formula. Another method is to factor out the GCF, or greatest common factor of both terms in the top, and then reducing that GCF with the denominator.
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Sample Problems (15)
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Simplifying Rational Functions with Factoring and GCFs
Problem 1 6,232 viewsSimplify and find any excluded values.
4x³ 16x 
Simplifying Rational Functions with Factoring and GCFs
Problem 2 5,734 viewsSimplify and find any excluded values.
18x³ 6x + 12 
Simplifying Rational Functions with Factoring and GCFs
Problem 3 5,035 viewsSimplify and find any excluded values.
8m + 16 2m² + 5m + 2 
Simplifying Rational Functions with Factoring and GCFs
Problem 4 4,666 viewsSimplify and find any excluded values.
9 − 3x 3x² − 9 − 6x 
Simplifying Rational Functions with Factoring and GCFs
Problem 5 782 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 6 751 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 7 710 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 8 762 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 9 628 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 10 707 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 11 815 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 12 647 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 13 691 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 14 743 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 15 684 views
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