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