Calculus Examples

Simplify (1/(3+x)-1/3)/x
Step 1
Simplify the numerator.
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Step 1.1
To write as a fraction with a common denominator, multiply by .
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.3.1
Multiply by .
Step 1.3.2
Multiply by .
Step 1.3.3
Reorder the factors of .
Step 1.4
Combine the numerators over the common denominator.
Step 1.5
Rewrite in a factored form.
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Step 1.5.1
Apply the distributive property.
Step 1.5.2
Multiply by .
Step 1.5.3
Subtract from .
Step 1.5.4
Subtract from .
Step 1.6
Move the negative in front of the fraction.
Step 2
Multiply the numerator by the reciprocal of the denominator.
Step 3
Cancel the common factor of .
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Step 3.1
Move the leading negative in into the numerator.
Step 3.2
Factor out of .
Step 3.3
Cancel the common factor.
Step 3.4
Rewrite the expression.
Step 4
Move the negative in front of the fraction.