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2\left(xy-3x+6y-18\right)
Factor out 2.
x\left(y-3\right)+6\left(y-3\right)
Consider xy-3x+6y-18. Do the grouping xy-3x+6y-18=\left(xy-3x\right)+\left(6y-18\right), and factor out x in the first and 6 in the second group.
\left(y-3\right)\left(x+6\right)
Factor out common term y-3 by using distributive property.
2\left(y-3\right)\left(x+6\right)
Rewrite the complete factored expression.