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