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