Pre-Algebra Examples

Find the GCF x^2-100+25 , (x-5)^2
,
Step 1
Regroup terms.
Step 2
Rewrite as .
Step 3
Expand using the FOIL Method.
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Step 3.1
Apply the distributive property.
Step 3.2
Apply the distributive property.
Step 3.3
Apply the distributive property.
Step 4
Simplify and combine like terms.
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Step 4.1
Simplify each term.
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Step 4.1.1
Multiply by .
Step 4.1.2
Move to the left of .
Step 4.1.3
Multiply by .
Step 4.2
Subtract from .
Step 5
Add and .
Step 6
Add and .
Step 7
Subtract from .
Step 8
Factor out of .
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Step 8.1
Factor out of .
Step 8.2
Factor out of .
Step 8.3
Factor out of .
Step 8.4
Factor out of .
Step 8.5
Factor out of .
Step 9
The greatest common factor is the term in front of the factored expression.