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b^{2}-ba+a\left(b+1\right)
Use the distributive property to multiply b by b-a.
b^{2}-ba+ab+a
Use the distributive property to multiply a by b+1.
b^{2}+a
Combine -ba and ab to get 0.
b^{2}-ba+a\left(b+1\right)
Use the distributive property to multiply b by b-a.
b^{2}-ba+ab+a
Use the distributive property to multiply a by b+1.
b^{2}+a
Combine -ba and ab to get 0.