Perform $x_1^3+x_2^3+\cdots+x_n^3$ by basic symetric polynomials.

Question

Perform $x_1^3+x_2^3+\cdots+x_n^3$ by basic symetric polynomials $\sigma_1,...,\sigma_n$.

$\sigma_1=x_1+x_2+\cdots x_n\\ \sigma_2=\sum\limits_{i<j}x_i x_j\\ ...\\ \sigma_n= x_1.x_2...x_n$

I tried with $n=3,n=2$ but i can solve in general case.