how a^3+b^3+c^3=3abc

Asked by vans75a | 25th Jan, 2016, 06:43: PM

Expert Answer:

 

a cubed plus b cubed plus c cubed equals 3 a b c rightwards double arrow a cubed plus b cubed plus c cubed minus 3 a b c equals 0 rightwards double arrow open parentheses a plus b plus c close parentheses open parentheses a squared plus b squared plus c squared minus a b minus b c minus c a close parentheses equals 0 rightwards double arrow 1 half open parentheses a plus b plus c close parentheses open square brackets open parentheses a minus b close parentheses squared plus open parentheses b minus c close parentheses squared plus open parentheses c minus a close parentheses squared close square brackets equals 0 rightwards double arrow open parentheses a plus b plus c close parentheses equals 0 space o r space open square brackets open parentheses a minus b close parentheses squared plus open parentheses b minus c close parentheses squared plus open parentheses c minus a close parentheses squared close square brackets equals 0 rightwards double arrow open parentheses a plus b plus c close parentheses equals 0 space o r space a equals b equals c

Answered by  | 25th Jan, 2016, 06:49: PM

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