Math, asked by Sanskriti141, 1 year ago

Hey mates!!!

Plz help me to solve this question....

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Anonymous: Hey Sanskriti , can I solve it ?

Answers

Answered by zarvis
0
it is given .
asqu/bc+b2/ac+c2/ab
we can write this as
a3+b3+c3/abc
a+b+C=0 so a3+b3+c3=3abc
putting value of a3+b3+c3
3abc/abc
=3
hence proved

kingji: how you write a3b3c3/abc please tell
Sanskriti141: thanks
zarvis: by taking LCM
Anonymous: ^_^
Answered by Anonymous
3
Hey Mate !

Here is your solution :

Given,

=> a + b + c = 0

=> a + b = -c --------- ( 1 )

Cubing both sides,

=> ( a + b )³ = ( -c )³

=> a³ + b³ + 3ab( a + b ) = -c³

Substitute the value of ( 1 ),

=> a³ + b³ + 3ab( -c ) = -c³

=> a³ + b³ - 3abc = -c³

•°• a³ + b³ + c³ = 3abc ------- ( 3 )

Now,

=> ( a²/bc ) + ( b²/ac ) + ( c²/ab ) = 3

=> ( a³ + b³ + c³ ) / abc = 3

Substitute the value of ( 3 ),

=> 3abc / abc = 3

•°• 3 = 3

☆ Proved ☆

=============================

Hope it helps !! ^_^

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Anonymous: ^_^
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