Question

Hello users!!!

Plz solve the question given in the attachment...
Question no. 105 only

Answer 1

Hey Mate !

Here is your solution :

Given,

=> ( a² + b² + c² ) = 280 ------- ( 1 )

=> ab + bc + ca = ( 9/2 ) --------- ( 2 )

Now,

=> ( a + b + c)² = a² + b² + c² + 2 ( ab + bc + ca )

=> ( a + b + c )² = 280 + 2 ( 9/2 )

=> ( a + b + c )² = 280 + 9

=> ( a + b + c )² = 289

=> ( a + b + c ) = √289

=> ( a + b + c ) = 17

Cubing both sides,

=> ( a + b + c )³ = ( 17 )³


=> ( a + b + c )³ = 4,913

The required answer is 4,913.

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Hope it helps !! ^_^