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2\left(3ab-6a+5bp-10p\right)
Factor out 2.
3a\left(b-2\right)+5p\left(b-2\right)
Consider 3ab-6a+5bp-10p. Do the grouping 3ab-6a+5bp-10p=\left(3ab-6a\right)+\left(5bp-10p\right), and factor out 3a in the first and 5p in the second group.
\left(b-2\right)\left(3a+5p\right)
Factor out common term b-2 by using distributive property.
2\left(5p+3a\right)\left(b-2\right)
Rewrite the complete factored expression.