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-16x^{2}+40yx-25y^{2}
Consider 40xy-16x^{2}-25y^{2} as a polynomial over variable x.
\left(4x-5y\right)\left(-4x+5y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power -16x^{2} and n divides the constant factor -25y^{2}. One such factor is 4x-5y. Factor the polynomial by dividing it by this factor.