Factor
\left(7z^{2}-8yx^{3}\right)\left(64y^{2}x^{6}+56yz^{2}x^{3}+49z^{4}\right)
Evaluate
343z^{6}-512y^{3}x^{9}
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\left(-8yx^{3}+7z^{2}\right)\left(64y^{2}x^{6}+56yz^{2}x^{3}+49z^{4}\right)
Consider 343z^{6}-512x^{9}y^{3} as a polynomial over variable z. Find one factor of the form kz^{m}+n, where kz^{m} divides the monomial with the highest power 343z^{6} and n divides the constant factor -512y^{3}x^{9}. One such factor is -8yx^{3}+7z^{2}. Factor the polynomial by dividing it by this factor.
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