Precalculus Examples

Simplify 1/x+1/(x^2)+1/(x^3)
Step 1
To write as a fraction with a common denominator, multiply by .
Step 2
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.1
Multiply by .
Step 2.2
Multiply by .
Step 3
Combine the numerators over the common denominator.
Step 4
To write as a fraction with a common denominator, multiply by .
Step 5
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 5.1
Multiply by .
Step 5.2
Multiply by by adding the exponents.
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Step 5.2.1
Multiply by .
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Step 5.2.1.1
Raise to the power of .
Step 5.2.1.2
Use the power rule to combine exponents.
Step 5.2.2
Add and .
Step 6
Combine the numerators over the common denominator.
Step 7
Simplify the numerator.
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Step 7.1
Apply the distributive property.
Step 7.2
Multiply by .
Step 7.3
Multiply by .