Question 1116140
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There is canonical algebraic decomposition (identity)


{{{a^3 + b^3}}} = {{{(a+b)*(a^2- ab+b^2)}}}.


Use it. In your case a = 4  (and {{{a^3}}} = 64);  b = 3w  (and {{{b^3}}}= {{{27w^3}}} ).


Therefore,  {{{64 + 27w^3}}} = {{{(4+3w)*(16 - 12w + 9w^2)}}}.
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See the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-sum-of-cubes-formula.lesson>The sum of cubes formula</A> 

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