Question

If 3x + y + z = 0, show that 27x³ + y³ + z³ = 9xyz

Answer 1

Hey mate,

Given that :-

3x + y + z = 0

To prove :-

27x³ + y³ + z³ = 9xyz .

Proof :-

We know that ,

if ( a + b + c ) = 0

then ,

( a³ + b³ + c³ ) 3abc .

Same formulae will be applied here ,

3x + y + z = 0

then

( 3x ) ³ + ( y ) ³ + ( z ) ³ = 3 × 3x × y × z

=> 27x³ + y³ + z³ = 9xyz

Mark the answer as brainliest....