Algebra Examples

Factor 27x^3+1
Step 1
Rewrite as .
Step 2
Rewrite as .
Step 3
Since both terms are perfect cubes, factor using the sum of cubes formula, where and .
Step 4
Simplify.
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Step 4.1
Apply the product rule to .
Step 4.2
Raise to the power of .
Step 4.3
Multiply by .
Step 4.4
Multiply by .
Step 4.5
One to any power is one.