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a^{2}+ab-b\left(a-b\right)
Use the distributive property to multiply a by a+b.
a^{2}+ab-\left(ba-b^{2}\right)
Use the distributive property to multiply b by a-b.
a^{2}+ab-ba-\left(-b^{2}\right)
To find the opposite of ba-b^{2}, find the opposite of each term.
a^{2}+ab-ba+b^{2}
The opposite of -b^{2} is b^{2}.
a^{2}+b^{2}
Combine ab and -ba to get 0.
a^{2}+ab-b\left(a-b\right)
Use the distributive property to multiply a by a+b.
a^{2}+ab-\left(ba-b^{2}\right)
Use the distributive property to multiply b by a-b.
a^{2}+ab-ba-\left(-b^{2}\right)
To find the opposite of ba-b^{2}, find the opposite of each term.
a^{2}+ab-ba+b^{2}
The opposite of -b^{2} is b^{2}.
a^{2}+b^{2}
Combine ab and -ba to get 0.