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x\left(6x+5y\right)+3\left(6x+5y\right)
Do the grouping 6x^{2}+5xy+18x+15y=\left(6x^{2}+5xy\right)+\left(18x+15y\right), and factor out x in the first and 3 in the second group.
\left(6x+5y\right)\left(x+3\right)
Factor out common term 6x+5y by using distributive property.