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2a\left(5a-2b\right)+3\left(5a-2b\right)
Do the grouping 10a^{2}-4ab+15a-6b=\left(10a^{2}-4ab\right)+\left(15a-6b\right), and factor out 2a in the first and 3 in the second group.
\left(5a-2b\right)\left(2a+3\right)
Factor out common term 5a-2b by using distributive property.