if x+y+z = 0, then show that x3+ y3+ z3= 3xyz.
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answer:-
°.° x + y + z = 0
.°. x + y = - z
LHS = x³ + y³ + z³
= ( x + y )³ - 3xy ( x + y ) + z³
= ( -z )³ - 3xy ( -z ) + z³
= - z³ + 3xyz + z³
= 3xyz
= RHS
====================================
have a great day ahead!
answer:-
°.° x + y + z = 0
.°. x + y = - z
LHS = x³ + y³ + z³
= ( x + y )³ - 3xy ( x + y ) + z³
= ( -z )³ - 3xy ( -z ) + z³
= - z³ + 3xyz + z³
= 3xyz
= RHS
====================================
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