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Multiplying and Dividing Rational Expressions  Problem 6
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 want to factor any polynomials when we're multiplying to see if any common factors can be canceled out (the same on top and bottom) to simplify the multiplication process. You could still potentially get the correct answer in the end if you don't cancel out common factors, but your simplification at the end would be much more labor intensive with higher degree polynomials. Once all of the common factors have been canceled out, we multiply across the top, multiply across the bottom, and simplify. Domain restrictions are any values of variables that would make any denominators equal to zero, since dividing by zero is undefined.
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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.”
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Sample Problems (9)
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Multiplying and Dividing Rational Expressions
Problem 1 6,769 viewsSimplify:
x² + 3x + 2 ⋅ x² + 7x + 12 x² + 4x + 3 x² − 4 
Multiplying and Dividing Rational Expressions
Problem 2 5,560 viewsSimplify:
y² − 4 ÷ 2 − y 16 8y 
Multiplying and Dividing Rational Expressions
Problem 3 4,852 viewsSimplify:
( 2x³ + 3x² − 2x ⋅ x² − 3x − 10 ) ÷ 3x² + 12x + 12 2x³ − x² 3x − 15 5x² − 10x 
Multiplying and Dividing Rational Expressions
Problem 4 1,070 views 
Multiplying and Dividing Rational Expressions
Problem 5 1,106 views 
Multiplying and Dividing Rational Expressions
Problem 6 957 views 
Multiplying and Dividing Rational Expressions
Problem 7 833 views 
Multiplying and Dividing Rational Expressions
Problem 8 1,011 views 
Multiplying and Dividing Rational Expressions
Problem 9 978 views
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