Question

write the formula if a+b+c=0 then a³+b³+c³=?

Answer 1

a + b + c = 0

a + b = - c


Cube on both sides,


(a + b)³ = (-c)³

=> a³ + b³ + 3ab(a + b) = -c³ [ a + b = -c]



=> a³ + b³ + 3ab(-c) = -c³

=> a³ + b³ - 3abc = -c³

=> a³ + b³ + c³ = 3abc



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I hope this will help you



(-:

Answer 2

Heya ✋

a + b + c = 0

$a ^{3} + b ^{3} + c ^{3} = what$

Solution

$a + b = - c.......(i) \\ \\ on \: cubing \: both \: sides \\ \\ (a + b) ^{3} = ( - c) ^{3} \\ \\ = > a ^{3} + b ^{3 } + 3ab(a + b) = - c ^{3} \\ \\ = > a ^{3} + b ^{3} + 3ab( - c) = - c ^{3} \\ \\ = > a ^{3} + b ^{3} - 3abc = - c ^{3} \\ \\ = > a ^{3} + b ^{3} + c ^{3} = 3abc$



Thanks :)))))