Factoring 2a(a+3b) - 5(a+3b)

2a^2 + 6ab - 5a - 15b

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To factor the expression 2a(a+3b) - 5(a+3b), we can first notice that both terms have a common factor of (a+3b).

Let's factor out this common factor:
2a(a+3b) - 5(a+3b) = (a+3b)(2a-5)

Therefore, the factored form of the expression 2a(a+3b) - 5(a+3b) is (a+3b)(2a-5).