Pre-Algebra Examples

Step 1
Rewrite as .
Step 2
Rewrite as .
Step 3
Since both terms are perfect cubes, factor using the difference of cubes formula, where and .
Step 4
Simplify.
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Step 4.1
Rewrite as .
Step 4.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 4.3
Multiply the exponents in .
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Step 4.3.1
Apply the power rule and multiply exponents, .
Step 4.3.2
Multiply by .
Step 4.4
Move to the left of .
Step 4.5
Raise to the power of .
Step 4.6
Factor.
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Step 4.6.1
Rewrite in a factored form.
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Step 4.6.1.1
Rewrite the middle term.
Step 4.6.1.2
Rearrange terms.
Step 4.6.1.3
Factor first three terms by perfect square rule.
Step 4.6.1.4
Rewrite as .
Step 4.6.1.5
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 4.6.1.6
Simplify.
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Step 4.6.1.6.1
Reorder terms.
Step 4.6.1.6.2
Multiply by .
Step 4.6.1.6.3
Reorder terms.
Step 4.6.2
Remove unnecessary parentheses.