Math, asked by kiranmoy99, 1 year ago

x+y+z=0
than prove
that x² + y² + z² =3 x y z​

Answers

Answered by dheeraj4290
1

Step-by-step explanation:

 {x}^{2}  +  {y}^{2}  +  {z}^{2}  - 3xyz = (x + y + z)( xy + yz + xz)

if x+y+z= 0, then...

 {x}^{2}  +  {y }^{2}  +  {z}^{2}  - 3xyz = 0(xy + yz + xz) = 0

 {x}^{2}  +  {y }^{2}  +  {z}^{2}  - 3xyz = 0

 {x}^{2}  +  {y}^{2}  +  {z}^{2}  = 3xyz

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