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Check it outSimplifying Rational Functions with Factoring and GCFs  Problem 5 177 views
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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Sample Problems (15)
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Simplifying Rational Functions with Factoring and GCFs
Problem 1 5,146 viewsSimplify and find any excluded values.
4x³ 16x 
Simplifying Rational Functions with Factoring and GCFs
Problem 2 4,546 viewsSimplify and find any excluded values.
18x³ 6x + 12 
Simplifying Rational Functions with Factoring and GCFs
Problem 3 4,180 viewsSimplify and find any excluded values.
8m + 16 2m² + 5m + 2 
Simplifying Rational Functions with Factoring and GCFs
Problem 4 3,645 viewsSimplify and find any excluded values.
9 − 3x 3x² − 9 − 6x 
Simplifying Rational Functions with Factoring and GCFs
Problem 5 176 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 6 179 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 7 175 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 8 182 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 9 167 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 10 150 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 11 166 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 12 168 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 13 167 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 14 161 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 15 146 views
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