if a+b+c=15 anda2+b2+c2=83 find ab+bc+ca and hence find A3+b3+c3-3abc
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![ab + bc + ca = 71 ab + bc + ca = 71](https://tex.z-dn.net/?f=ab+%2B+bc+%2B+ca+%3D+71)
![{a}^{3} + {b}^{3} + {c}^{3} - 3abc = 180 {a}^{3} + {b}^{3} + {c}^{3} - 3abc = 180](https://tex.z-dn.net/?f=++%7Ba%7D%5E%7B3%7D++%2B+++%7Bb%7D%5E%7B3%7D++%2B++%7Bc%7D%5E%7B3%7D++-+3abc+%3D+180)
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