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a^{2}-ba-a\left(3a-5\right)
Use the distributive property to multiply a-b by a.
a^{2}-ba-\left(3a^{2}-5a\right)
Use the distributive property to multiply a by 3a-5.
a^{2}-ba-3a^{2}-\left(-5a\right)
To find the opposite of 3a^{2}-5a, find the opposite of each term.
a^{2}-ba-3a^{2}+5a
The opposite of -5a is 5a.
-2a^{2}-ba+5a
Combine a^{2} and -3a^{2} to get -2a^{2}.
a^{2}-ba-a\left(3a-5\right)
Use the distributive property to multiply a-b by a.
a^{2}-ba-\left(3a^{2}-5a\right)
Use the distributive property to multiply a by 3a-5.
a^{2}-ba-3a^{2}-\left(-5a\right)
To find the opposite of 3a^{2}-5a, find the opposite of each term.
a^{2}-ba-3a^{2}+5a
The opposite of -5a is 5a.
-2a^{2}-ba+5a
Combine a^{2} and -3a^{2} to get -2a^{2}.