Finite Math Examples

Factor by Grouping 3(x+8)^2+19(x+8)+30
Step 1
Simplify each term.
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Step 1.1
Rewrite as .
Step 1.2
Expand using the FOIL Method.
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Step 1.2.1
Apply the distributive property.
Step 1.2.2
Apply the distributive property.
Step 1.2.3
Apply the distributive property.
Step 1.3
Simplify and combine like terms.
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Step 1.3.1
Simplify each term.
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Step 1.3.1.1
Multiply by .
Step 1.3.1.2
Move to the left of .
Step 1.3.1.3
Multiply by .
Step 1.3.2
Add and .
Step 1.4
Apply the distributive property.
Step 1.5
Simplify.
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Step 1.5.1
Multiply by .
Step 1.5.2
Multiply by .
Step 1.6
Apply the distributive property.
Step 1.7
Multiply by .
Step 2
Simplify by adding terms.
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Step 2.1
Add and .
Step 2.2
Simplify by adding numbers.
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Step 2.2.1
Add and .
Step 2.2.2
Add and .
Step 3
Factor by grouping.
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Step 3.1
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Step 3.1.1
Factor out of .
Step 3.1.2
Rewrite as plus
Step 3.1.3
Apply the distributive property.
Step 3.2
Factor out the greatest common factor from each group.
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Step 3.2.1
Group the first two terms and the last two terms.
Step 3.2.2
Factor out the greatest common factor (GCF) from each group.
Step 3.3
Factor the polynomial by factoring out the greatest common factor, .