Finite Math Examples

Simplify (-4x-3)/(x+5)+(3x+4)/(x-5)
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
Simplify the numerator.
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Step 5.1
Expand using the FOIL Method.
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Step 5.1.1
Apply the distributive property.
Step 5.1.2
Apply the distributive property.
Step 5.1.3
Apply the distributive property.
Step 5.2
Simplify and combine like terms.
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Step 5.2.1
Simplify each term.
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Step 5.2.1.1
Multiply by by adding the exponents.
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Step 5.2.1.1.1
Move .
Step 5.2.1.1.2
Multiply by .
Step 5.2.1.2
Multiply by .
Step 5.2.1.3
Multiply by .
Step 5.2.2
Subtract from .
Step 5.3
Expand using the FOIL Method.
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Step 5.3.1
Apply the distributive property.
Step 5.3.2
Apply the distributive property.
Step 5.3.3
Apply the distributive property.
Step 5.4
Simplify and combine like terms.
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Step 5.4.1
Simplify each term.
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Step 5.4.1.1
Multiply by by adding the exponents.
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Step 5.4.1.1.1
Move .
Step 5.4.1.1.2
Multiply by .
Step 5.4.1.2
Multiply by .
Step 5.4.1.3
Multiply by .
Step 5.4.2
Add and .
Step 5.5
Add and .
Step 5.6
Add and .
Step 5.7
Add and .
Step 6
Simplify with factoring out.
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Step 6.1
Factor out of .
Step 6.2
Factor out of .
Step 6.3
Factor out of .
Step 6.4
Rewrite as .
Step 6.5
Factor out of .
Step 6.6
Simplify the expression.
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Step 6.6.1
Rewrite as .
Step 6.6.2
Move the negative in front of the fraction.