Pre-Algebra Examples

Add 7/(x-3)+(3x+1)/(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
Apply the distributive property.
Step 5.2
Multiply by .
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 5.4.1.4
Multiply by .
Step 5.4.2
Add and .
Step 5.5
Subtract from .
Step 5.6
Subtract from .
Step 5.7
Reorder terms.