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3a^{2}+ab+b^{2}
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3a^{2}+ab+b^{2}
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3a^{2}+3ab-2b\left(-b+a\right)-b^{2}
Use the distributive property to multiply 3a by a+b.
3a^{2}+3ab+2b^{2}-2ba-b^{2}
Use the distributive property to multiply -2b by -b+a.
3a^{2}+ab+2b^{2}-b^{2}
Combine 3ab and -2ba to get ab.
3a^{2}+ab+b^{2}
Combine 2b^{2} and -b^{2} to get b^{2}.
3a^{2}+3ab-2b\left(-b+a\right)-b^{2}
Use the distributive property to multiply 3a by a+b.
3a^{2}+3ab+2b^{2}-2ba-b^{2}
Use the distributive property to multiply -2b by -b+a.
3a^{2}+ab+2b^{2}-b^{2}
Combine 3ab and -2ba to get ab.
3a^{2}+ab+b^{2}
Combine 2b^{2} and -b^{2} to get b^{2}.
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