Finite Math Examples

Factor 2/(x-9)-1/(x-3)-1/(x-4)
Step 1
To write as a fraction with a common denominator, multiply by .
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.1
Multiply by .
Step 3.2
Multiply by .
Step 3.3
Reorder the factors of .
Step 4
Combine the numerators over the common denominator.
Step 5
To write as a fraction with a common denominator, multiply by .
Step 6
To write as a fraction with a common denominator, multiply by .
Step 7
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 7.1
Multiply by .
Step 7.2
Multiply by .
Step 7.3
Reorder the factors of .
Step 7.4
Reorder the factors of .
Step 8
Combine the numerators over the common denominator.
Step 9
Rewrite in a factored form.
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Step 9.1
Simplify each term.
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Step 9.1.1
Apply the distributive property.
Step 9.1.2
Multiply by .
Step 9.1.3
Apply the distributive property.
Step 9.1.4
Multiply by .
Step 9.2
Subtract from .
Step 9.3
Add and .
Step 9.4
Expand using the FOIL Method.
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Step 9.4.1
Apply the distributive property.
Step 9.4.2
Apply the distributive property.
Step 9.4.3
Apply the distributive property.
Step 9.5
Simplify and combine like terms.
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Step 9.5.1
Simplify each term.
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Step 9.5.1.1
Multiply by .
Step 9.5.1.2
Move to the left of .
Step 9.5.1.3
Multiply by .
Step 9.5.2
Add and .
Step 9.6
Apply the distributive property.
Step 9.7
Multiply by .
Step 9.8
Expand using the FOIL Method.
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Step 9.8.1
Apply the distributive property.
Step 9.8.2
Apply the distributive property.
Step 9.8.3
Apply the distributive property.
Step 9.9
Simplify and combine like terms.
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Step 9.9.1
Simplify each term.
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Step 9.9.1.1
Multiply by by adding the exponents.
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Step 9.9.1.1.1
Move .
Step 9.9.1.1.2
Multiply by .
Step 9.9.1.2
Multiply by .
Step 9.9.1.3
Multiply by .
Step 9.9.2
Add and .
Step 9.10
Subtract from .
Step 9.11
Add and .
Step 9.12
Add and .
Step 9.13
Subtract from .