Rewrite the given expression as a product of a binomial and a trinomial.

[tex]\[ 512x^3 + 343y^3 \][/tex]

A. [tex]\((8x - 7y)(64x^2 + 56xy + 49y^2)\)[/tex]

B. [tex][tex]\((8x + 7y)(64x^2 - 56xy + 49y^2)\)[/tex][/tex]

C. [tex]\((8x + 7y)(64x^2 - xy + 49y^2)\)[/tex]

D. [tex]\((8x - 7y)(64x^2 - 6xy + 49y^2)\)[/tex]
PLEASE SHOW ALL WORK AND EXPLAIN.