Pre-Algebra Examples

Divide ((2+h)^3-8)/h
Step 1
Simplify the numerator.
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Step 1.1
Rewrite as .
Step 1.2
Since both terms are perfect cubes, factor using the difference of cubes formula, where and .
Step 1.3
Simplify.
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Step 1.3.1
Subtract from .
Step 1.3.2
Add and .
Step 1.3.3
Rewrite as .
Step 1.3.4
Expand using the FOIL Method.
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Step 1.3.4.1
Apply the distributive property.
Step 1.3.4.2
Apply the distributive property.
Step 1.3.4.3
Apply the distributive property.
Step 1.3.5
Simplify and combine like terms.
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Step 1.3.5.1
Simplify each term.
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Step 1.3.5.1.1
Multiply by .
Step 1.3.5.1.2
Move to the left of .
Step 1.3.5.1.3
Multiply by .
Step 1.3.5.2
Add and .
Step 1.3.6
Apply the distributive property.
Step 1.3.7
Multiply by .
Step 1.3.8
Move to the left of .
Step 1.3.9
Raise to the power of .
Step 1.3.10
Add and .
Step 1.3.11
Add and .
Step 1.3.12
Add and .
Step 1.3.13
Reorder terms.
Step 2
Cancel the common factor of .
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Step 2.1
Cancel the common factor.
Step 2.2
Divide by .