Too Large To Factor

Algebra Level 2

True or False?

If a,b,ca,b,c satisfy the equation a3+b3+c3=(a+b+c)3a^3 + b^3 + c^3 = (a+b+c)^3,
then they also satisfy a5+b5+c5=(a+b+c)5a^5 + b^5 + c^5 = (a+b+c)^5 .

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