Question

if a+b+c = 0 then prove that a(b-c)^3 + b(c-a)^3 + c(a-b)^3 = 0​

Answer 1

Answer:

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Step-by-step explanation:

By taking and solving LHS,

a(b-c)^3+b(c-a)^3+c(a-b)^3

=(ab)^3-(ac)^3+(bc)^3-(ab)^3+(ac)^3-(ab)^3

=0

So, LHS=RHS

Hence, Proved

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