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10a^{2}+15ab-8ba-12b^{2}
Apply the distributive property by multiplying each term of 5a-4b by each term of 2a+3b.
10a^{2}+7ab-12b^{2}
Combine 15ab and -8ba to get 7ab.
10a^{2}+15ab-8ba-12b^{2}
Apply the distributive property by multiplying each term of 5a-4b by each term of 2a+3b.
10a^{2}+7ab-12b^{2}
Combine 15ab and -8ba to get 7ab.