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xy\left(x+a\right)+ab\left(x+a\right)
Do the grouping x^{2}y+axy+abx+a^{2}b=\left(x^{2}y+axy\right)+\left(abx+a^{2}b\right), and factor out xy in the first and ab in the second group.
\left(x+a\right)\left(xy+ab\right)
Factor out common term x+a by using distributive property.