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xy\left(x-3y\right)+8\left(x-3y\right)
Do the grouping x^{2}y-3xy^{2}+8x-24y=\left(x^{2}y-3xy^{2}\right)+\left(8x-24y\right), and factor out xy in the first and 8 in the second group.
\left(x-3y\right)\left(xy+8\right)
Factor out common term x-3y by using distributive property.