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x\left(x+my\right)-4y\left(x+my\right)
Do the grouping x^{2}+mxy-4xy-4my^{2}=\left(x^{2}+mxy\right)+\left(-4xy-4my^{2}\right), and factor out x in the first and -4y in the second group.
\left(x+my\right)\left(x-4y\right)
Factor out common term x+my by using distributive property.