Question

Please give me answer ​

Answer 1

Step-by-step explanation:

L.H.S.

$x^{3}  + y^{3}  + z^{3}  - 3xyz$

= ( x + y + z) ( $x^{2} + y^{2} + z^{2}$ - xy - yz - zx)

= (x + y+ z) 1/2($2x^{2} + 2y^{2}  + 2z^{2}$ - 2xy - 2yz - 2zx)

= (x + y+ z) 1/2{ $(x-y)^{2} +(y-z)^{2}  + (z - x )^{2}$)

Therefore, LHS = RHS proved