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10ab^{2}-3ba^{2}-\left(2b-a\right)\left(3ab-4b^{2}\right)
Use the distributive property to multiply ab by 10b-3a.
10ab^{2}-3ba^{2}-\left(10b^{2}a-8b^{3}-3a^{2}b\right)
Use the distributive property to multiply 2b-a by 3ab-4b^{2} and combine like terms.
10ab^{2}-3ba^{2}-10b^{2}a+8b^{3}+3a^{2}b
To find the opposite of 10b^{2}a-8b^{3}-3a^{2}b, find the opposite of each term.
-3ba^{2}+8b^{3}+3a^{2}b
Combine 10ab^{2} and -10b^{2}a to get 0.
8b^{3}
Combine -3ba^{2} and 3a^{2}b to get 0.
10ab^{2}-3ba^{2}-\left(2b-a\right)\left(3ab-4b^{2}\right)
Use the distributive property to multiply ab by 10b-3a.
10ab^{2}-3ba^{2}-\left(10b^{2}a-8b^{3}-3a^{2}b\right)
Use the distributive property to multiply 2b-a by 3ab-4b^{2} and combine like terms.
10ab^{2}-3ba^{2}-10b^{2}a+8b^{3}+3a^{2}b
To find the opposite of 10b^{2}a-8b^{3}-3a^{2}b, find the opposite of each term.
-3ba^{2}+8b^{3}+3a^{2}b
Combine 10ab^{2} and -10b^{2}a to get 0.
8b^{3}
Combine -3ba^{2} and 3a^{2}b to get 0.