Factor 27p^3-8

Rewrite 27p3 as (3p)3.
Rewrite 8 as 23.
Since both terms are perfect cubes, factor using the difference of cubes formula, a3-b3=(a-b)(a2+ab+b2) where a=3p and b=2.
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Apply the product rule to 3p.
Raise 3 to the power of 2.
Multiply 2 by 3.
Raise 2 to the power of 2.
Factor 27p^3-8

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