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-9x^{2}+12yx-4y^{2}
Consider 12xy-9x^{2}-4y^{2} as a polynomial over variable x.
\left(3x-2y\right)\left(-3x+2y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power -9x^{2} and n divides the constant factor -4y^{2}. One such factor is 3x-2y. Factor the polynomial by dividing it by this factor.