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When we want to simplify rational expressions, we factor top and bottom completely and look for common factors to cancel. Sometimes, the factors are so close they're only off by a + or  sign, or perhaps the order of the terms. It could be that you're working with opposite binomials: factor negative one out of one of the binomial terms, and it could be that the terms will "cancel" from there.
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Sample Problems (15)
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Simplifying Rational Functions with Factoring and GCFs
Problem 1 5,130 viewsSimplify and find any excluded values.
4x³ 16x 
Simplifying Rational Functions with Factoring and GCFs
Problem 2 4,533 viewsSimplify and find any excluded values.
18x³ 6x + 12 
Simplifying Rational Functions with Factoring and GCFs
Problem 3 4,165 viewsSimplify and find any excluded values.
8m + 16 2m² + 5m + 2 
Simplifying Rational Functions with Factoring and GCFs
Problem 4 3,624 viewsSimplify and find any excluded values.
9 − 3x 3x² − 9 − 6x 
Simplifying Rational Functions with Factoring and GCFs
Problem 5 169 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 6 168 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 7 165 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 8 170 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 9 158 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 10 141 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 11 154 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 12 159 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 13 157 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 14 154 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 15 133 views
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