\left| \begin{array} { c c c } { 3 a } & { - a + b } & { - a + c } \\ { - b + a } & { 3 b } & { - b + c } \\ { - c + a } & { - c + b } & { 3 c } \end{array} \right|
Evaluate
3\left(a+b+c\right)\left(ab+ac+bc\right)
Integrate w.r.t. a
\frac{3\left(ab\right)^{2}}{2}+\frac{3\left(ac\right)^{2}}{2}+ba^{3}+ca^{3}+\frac{9bca^{2}}{2}+3abc^{2}+3acb^{2}+С
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