Pre-Algebra Examples

Divide (x^4-81)÷(x-3)
Step 1
Rewrite the division as a fraction.
Step 2
Simplify the numerator.
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Step 2.1
Rewrite as .
Step 2.2
Rewrite as .
Step 2.3
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 2.4
Simplify.
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Step 2.4.1
Rewrite as .
Step 2.4.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 3
Cancel the common factor of .
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Step 3.1
Cancel the common factor.
Step 3.2
Divide by .
Step 4
Expand using the FOIL Method.
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Step 4.1
Apply the distributive property.
Step 4.2
Apply the distributive property.
Step 4.3
Apply the distributive property.
Step 5
Simplify each term.
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Step 5.1
Multiply by by adding the exponents.
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Step 5.1.1
Multiply by .
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Step 5.1.1.1
Raise to the power of .
Step 5.1.1.2
Use the power rule to combine exponents.
Step 5.1.2
Add and .
Step 5.2
Move to the left of .
Step 5.3
Multiply by .