Pre-Algebra Examples

Find the GCF 20(r+t)^3 , 16(r+t)^6
,
Step 1
Simplify each term.
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Use the Binomial Theorem.
Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Remove parentheses.
Use the Binomial Theorem.
Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Remove parentheses.
Step 2
Factor out the GCF of from .
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Factor out the GCF of from each term in the polynomial.
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Factor out the GCF of from the expression .
Factor out the GCF of from the expression .
Factor out the GCF of from the expression .
Factor out the GCF of from the expression .
Factor out the GCF of from the expression .
Factor out the GCF of from the expression .
Factor out the GCF of from the expression .
Factor out the GCF of from the expression .
Factor out the GCF of from the expression .
Factor out the GCF of from the expression .
Factor out the GCF of from the expression .
Since all the terms share a common factor of , it can be factored out of each term.
Step 3
The greatest common factor is the term in front of the factored expression.