<s>[INST] How to find $abc$ if one is given the values of $a + b + c,$ $a^2 +b^2+c^2, \ a^3+b^3+c^3$ and $ac+bc+ab,$ If I am given the values of $a + b + c,$ $a^2 +b^2+c^2, \ a^3+b^3+c^3$ and $ac+bc+ab,$  how do I find value of $abc \ ?$
I expanded  $(a+b+c)^3$ to get  $a^3+b^3+c^3 + 3(a^2b+a^2c+b^2a+b^2c+c^2a+c^2b) +6abc $ but how do I manipulate $3(a^2b+a^2c+b^2a+b^2c+c^2a+c^2b)$ to obtain a fixed value from it?
Appreciate all advice, thank you. 
 [/INST] HINT: $$a^3+b^3+c^3-3abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ca)$$
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