Answer
$(x+4y)(x^2-4xy+16y^2)$
Work Step by Step
$x^3+64y^3$
$x^3+y^3 = (x+y)(x^2-xy+y^2)$
$x^3+64y^3 = (x+4y)(x^2-x*4y+4^2y^2)$
$(x+4y)(x^2-x*4y+4^2y^2)$
$(x+4y)(x^2-4xy+16y^2)$
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