Formula use: a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)
Explanation
Here, given expression is :
\left(a+b\right)\left(a^2-ab+b^2\right)+\left(b+c\right)\left(b^2-bc+c^2\right)+\left(c+a\right)\left(c^2-ca+a^2\right)
\rightarrow\left(a^3+b^3\right)+\left(b^3+c^3\right)+\left(c^3+a^3\right)
\rightarrow a^3+b^3+b^3+c^3+c^3+a^3
\rightarrow 2a^3+2b^3+2c^3
\therefore 2\left(a^3+b^3+c^3\right)
Ans: 2\left(a^3+b^3+c^3\right).