Question

If a³+ b³ + c³ = 3abc and (a + b + c) is not equal to 0 then-​

Answer 1

Step-by-step explanation:

the question must be:

if a³+b³+c³=3abc and a+b+C is not equal to zero then a²+b²+c² is equal to zero.

I think

for this question the answer is

a ³+b³+c³=3abc

using the identity,

x cube plus y cube plus z cube = (a plus b plus c)(a² plus b² plus c²-ab-bc-ac)+3xyz

likewise,

(a plus b plus c ) (a² plus b² plus c²) plus 3abc=3abc(gn)

3abc got cancelled on both the sides,

(a plus b plus c ) (a² plus b² plus c²-ab-bc-ac) =0

using identity,

a² plus b² plus c²= (a plus b plus c)(a² plus b² plus c²-ab-ac-bc)

a² plus b² plus c²=0

hence proved.

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