Factor 64t^6-27v^3

Rewrite 64t6 as (4t2)3.
Rewrite 27v3 as (3v)3.
Since both terms are perfect cubes, factor using the difference of cubes formula, a3-b3=(a-b)(a2+ab+b2) where a=4t2 and b=3v.
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Multiply 3 by -1.
Apply the product rule to 4t2.
Raise 4 to the power of 2.
Multiply the exponents in (t2)2.
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Apply the power rule and multiply exponents, (am)n=amn.
Multiply 2 by 2.
Rewrite using the commutative property of multiplication.
Multiply 4 by 3.
Apply the product rule to 3v.
Raise 3 to the power of 2.
Factor 64t^6-27v^3

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