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15a^{2}-25ab+9ba-15b^{2}
Apply the distributive property by multiplying each term of 5a+3b by each term of 3a-5b.
15a^{2}-16ab-15b^{2}
Combine -25ab and 9ba to get -16ab.
15a^{2}-25ab+9ba-15b^{2}
Apply the distributive property by multiplying each term of 5a+3b by each term of 3a-5b.
15a^{2}-16ab-15b^{2}
Combine -25ab and 9ba to get -16ab.