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xy\left(5x+3\right)+9\left(5x+3\right)
Do the grouping 5x^{2}y+27+3xy+45x=\left(5x^{2}y+3xy\right)+\left(45x+27\right), and factor out xy in the first and 9 in the second group.
\left(5x+3\right)\left(xy+9\right)
Factor out common term 5x+3 by using distributive property.