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a^{2}-2b-5a\left(a^{2}-2b\right)
Do the grouping a^{2}-2b-5a^{3}+10ab=\left(a^{2}-2b\right)+\left(-5a^{3}+10ab\right), and factor out -5a in -5a^{3}+10ab.
\left(a^{2}-2b\right)\left(1-5a\right)
Factor out common term a^{2}-2b by using distributive property.