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a\left(x-y+a^{2}\right)+b\left(x-y+a^{2}\right)
Do the grouping a^{3}+a^{2}b+ax-ay+bx-by=\left(ax-ay+a^{3}\right)+\left(bx-by+a^{2}b\right), and factor out a in the first and b in the second group.
\left(x-y+a^{2}\right)\left(a+b\right)
Factor out common term x-y+a^{2} by using distributive property.