If I have been given the value of $$\begin{align*} a+b+c&= 1\\ a^2+b^2+c^2&=9\\ a^3+b^3+c^3 &= 1 \end{align*}$$
Using this I can get the value of $$ab+bc+ca$$
How i can find the value of $abc$ using the given equations?
I just need a hint.
I have tried by squaring the equations.
But could not get it.
Thanks in advance.