a+b+c=9, a^2+b^2+c^2=35, then find a^3+b^3+c^3=3abc
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Wrong question
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Answer:
a+b+c=9
squaring both side
(a+b+c)^2=(9)^2
a^2+b^2+c^2+2ab+2bc+2ac=81
a^2+b^2+c^2+2(ab+bc+ac)=81
35+2(ab+bc+ac)=81
2(ab+bc+ac)=81-35
ab+bc+ac=46\2
ab+bc+ac=23
a^3+b^3+c^3=(a+b+c)(a^2+b^2+c^2-ab-bc-ac)
(a^3+b^3+c^3)=9×35-2(23)
=9×35-46
=9×12
=108
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