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Simplifying Rational Functions with Factoring and GCFs  Problem 5
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
We can reduce fractions when there is a common factor on top and bottom. Essentially, this represents multiplying by 1, so we can "cancel" out common terms. Be careful, though you can cross out common factors only, which means the terms have to be being multiplied by something. If they are being added or subtracted to something, then they're not factors and not "eligible" for being crossed out. Here, we look for greatest common factors that happen to be monomials, and then cross out common factors on top and bottom. Lastly, we look at a way to check your work using substitution.
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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.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
Sample Problems (15)
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Simplifying Rational Functions with Factoring and GCFs
Problem 1 5,846 viewsSimplify and find any excluded values.
4x³ 16x 
Simplifying Rational Functions with Factoring and GCFs
Problem 2 5,271 viewsSimplify and find any excluded values.
18x³ 6x + 12 
Simplifying Rational Functions with Factoring and GCFs
Problem 3 4,774 viewsSimplify and find any excluded values.
8m + 16 2m² + 5m + 2 
Simplifying Rational Functions with Factoring and GCFs
Problem 4 4,316 viewsSimplify and find any excluded values.
9 − 3x 3x² − 9 − 6x 
Simplifying Rational Functions with Factoring and GCFs
Problem 5 611 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 6 587 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 7 546 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 8 577 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 9 469 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 10 527 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 11 641 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 12 518 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 13 533 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 14 584 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 15 523 views
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