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5a^{2}+15ab-7ba-21b^{2}
Apply the distributive property by multiplying each term of 5a-7b by each term of a+3b.
5a^{2}+8ab-21b^{2}
Combine 15ab and -7ba to get 8ab.
5a^{2}+15ab-7ba-21b^{2}
Apply the distributive property by multiplying each term of 5a-7b by each term of a+3b.
5a^{2}+8ab-21b^{2}
Combine 15ab and -7ba to get 8ab.