Question

If a+b+c=0. then (a⁴+b⁴+c⁴)/(a²b² + b²c² +c²a²) is equal to

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Answer 1

Answer:

sorry bro i don't know ...

Answer 2

2

a+b+c=0

⇒a+b=−c

⇒(a+b)2

=(−c) 2

⇒a2+b2+2ab=c2

⇒a2+b2-c2=-2ab

⇒(a2+b2-c2)2=(-2ab)2

⇒a4+b4+c4+2a 2b2-2b3c

22-2a2 −2b c 2 −2a 2c 2=4a 2b 2

⇒a 4+b 4+c 4=2a 2 b 2+2b 2c 2+2a 2c 2

⇒ a 2 b 2 +b 2 c 2 +a 2 c 2a 4+b 4 +c 4 =2

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