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Grade 10Mechanics

Use identities to solve of a+b+c=0 then a3 + b3 + c3 = 3abc

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Profile image of Fahad
7 Years agoGrade 10
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1 Answer

Profile image of Arun
7 Years ago
a^3 + b^3 + c^3 - 3abc = (a+b+c) (a^2 + b^2 + c^2 - ab - bc -ca)
So if a+b+c = 0 
then a^3 + b^3 + c^3 - 3abc = 0
So a^3 + b^3 + c^3 = 3abc
 
now in your question take lcm
 
then
l^ + m^3 + n^3 – 3 l^3 m^3 n^3 = 0
 
now you can do yourself