Factor 125w^3+64m^3

Rewrite 125w3 as (5w)3.
Rewrite 64m3 as (4m)3.
Since both terms are perfect cubes, factor using the sum of cubes formula, a3+b3=(a+b)(a2-ab+b2) where a=5w and b=4m.
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Apply the product rule to 5w.
Raise 5 to the power of 2.
Multiply 5 by -1.
Rewrite using the commutative property of multiplication.
Multiply -5 by 4.
Remove parentheses.
Apply the product rule to 4m.
Raise 4 to the power of 2.
Factor 125w^3+64m^3

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