Question

if x+y+z show that x³+y³+z³​

Answer 1

Answer:

to prove , x³ + y³ + z³ = 3xyz

given

x + y + z = 0

=> x + y = - z

on cubing Both sides

( x + y)³ = ( -z )³

=> x ³ + y³ + 3xy( x + y) = - z³

=> x³ + y³ + 3xy.-z = -z³

=> x³ +y ³ - 3xyz = -z³

=> x³ + y³ + z³ = 3xyz.

Step-by-step explanation:

formula used " - ( a + b)³ = a³ + b³ + 3ab( a + b)

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