Find the value of `a^3+b^3+c^3-3abc` if `1)a+b+c=8, ab+bc+ca=19` `2)a+b+c=5 , a^2+b^2+c^2=1

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If a + b + c = 9 and a^2+b^2+c^2=35, find the value ofa^3+b^3+c^3-3abcIf a + b + c = 9 and a^2+b^2+c^2=35, find the value ofa^3+b^3+c^3-3abc
If(a + b + c) = 19 , and (a ^ 2 + b ^ 2 + c ^ 2) = 155 find (a - b) ^ 2 + (b - c) ^ 2 + (c - a) ^ 2If(a + b + c) = 19 , and (a ^ 2 + b ^ 2 + c ^ 2) = 155 find (a - b) ^ 2 + (b - c) ^ 2 + (c - a) ^ 2
Prove : `a^3+b^3+c^3-3abc = 1/2(a+b+c){(a-b)^2+(b-c)^2+(c-a)^2}`Prove : `a^3+b^3+c^3-3abc = 1/2(a+b+c){(a-b)^2+(b-c)^2+(c-a)^2}`
If `a+b+c=9` and `a^2+b^2+c^2=35`, find the value of `(a^3+b^3+c^3-3abc)`.If `a+b+c=9` and `a^2+b^2+c^2=35`, find the value of `(a^3+b^3+c^3-3abc)`.
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If (a + b + c) = 14, and (a^3 + b^3 + c³–3abc) = 98, find the value of (a² + b² + c²).If (a + b + c) = 14, and (a^3 + b^3 + c³–3abc) = 98, find the value of (a² + b² + c²).