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3a^{2}-3ab-2b\left(a+2b\right)+2ab
Use the distributive property to multiply 3a by a-b.
3a^{2}-3ab-2ba-4b^{2}+2ab
Use the distributive property to multiply -2b by a+2b.
3a^{2}-5ab-4b^{2}+2ab
Combine -3ab and -2ba to get -5ab.
3a^{2}-3ab-4b^{2}
Combine -5ab and 2ab to get -3ab.
3a^{2}-3ab-2b\left(a+2b\right)+2ab
Use the distributive property to multiply 3a by a-b.
3a^{2}-3ab-2ba-4b^{2}+2ab
Use the distributive property to multiply -2b by a+2b.
3a^{2}-5ab-4b^{2}+2ab
Combine -3ab and -2ba to get -5ab.
3a^{2}-3ab-4b^{2}
Combine -5ab and 2ab to get -3ab.