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a\left(a-2b\right)-2\left(a-2b\right)
Do the grouping a^{2}-2ab+4b-2a=\left(a^{2}-2ab\right)+\left(4b-2a\right), and factor out a in the first and -2 in the second group.
\left(a-2b\right)\left(a-2\right)
Factor out common term a-2b by using distributive property.