If a+b+c = 0 show that (2a-b)^3 + (2b-c)^3 + (2c-a)^3 = 3 (2a-b)(2b-c)(2c-a) Please help.
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Originally Posted by magakriv If a+b+c = 0 show that (2a-b)^3 + (2b-c)^3 + (2c-a)^3 = 3 (2a-b)(2b-c)(2c-a) Please help. Use this webpage to help do the algebra.
Hello, magakriv! . . Let: . Note that: / We have: . Cube both sides: . . . Since , we have: . . . . . . . . . . . . . . Back-substitute: .
Originally Posted by magakriv If a+b+c = 0 show that (2a-b)^3 + (2b-c)^3 + (2c-a)^3 = 3 (2a-b)(2b-c)(2c-a) Please help. Let me know if you have any question. Good luck!
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