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Multiplying and Dividing Rational Expressions  Problem 9
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
You've already had quite a bit of practice with reducing fractions that have only integers you can reduce the numbers by dividing by a common factor on top and bottom (like, when 2/8 = 1/4, you are dividing the top and bottom both by the common factor 2.) The same idea is true with rational expressions that involve x you can cross out common factors in top and bottom, but only after you've factored. Terms attached to a + or  sign are not "eligible" for being crossed out unless you're crossing out an entire binomial term.
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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.
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Sample Problems (9)
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Multiplying and Dividing Rational Expressions
Problem 1 7,205 viewsSimplify:
x² + 3x + 2 ⋅ x² + 7x + 12 x² + 4x + 3 x² − 4 
Multiplying and Dividing Rational Expressions
Problem 2 5,820 viewsSimplify:
y² − 4 ÷ 2 − y 16 8y 
Multiplying and Dividing Rational Expressions
Problem 3 5,077 viewsSimplify:
( 2x³ + 3x² − 2x ⋅ x² − 3x − 10 ) ÷ 3x² + 12x + 12 2x³ − x² 3x − 15 5x² − 10x 
Multiplying and Dividing Rational Expressions
Problem 4 1,225 views 
Multiplying and Dividing Rational Expressions
Problem 5 1,304 views 
Multiplying and Dividing Rational Expressions
Problem 6 1,086 views 
Multiplying and Dividing Rational Expressions
Problem 7 964 views 
Multiplying and Dividing Rational Expressions
Problem 8 1,152 views 
Multiplying and Dividing Rational Expressions
Problem 9 1,085 views
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