Factor
\left(3x-2y\right)\left(9x^{2}+24xy+4y^{2}\right)
Evaluate
\left(3x-2y\right)\left(9x^{2}+24xy+4y^{2}\right)
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27x^{3}+54yx^{2}-36y^{2}x-8y^{3}
Consider 27x^{3}-8y^{3}+54x^{2}y-36xy^{2} as a polynomial over variable x.
\left(3x-2y\right)\left(9x^{2}+24xy+4y^{2}\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 27x^{3} and n divides the constant factor -8y^{3}. One such factor is 3x-2y. Factor the polynomial by dividing it by this factor.
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