solve please

Asked by iamsimanta123 | 9th Jun, 2022, 07:30: AM

Expert Answer:

 (x + y + z) [ (x - y)2 + (y - z)2 + (z - x)2]

 (x + y + z) (x2 + y2 - 2xy + y2 + z2 - 2yz + z2 + x2 - 2xz)

=  (x + y + z) (2x2 + 2y2 + 2z2 - 2xy - 2yz - 2xz)

=   2 (x + y + z) (x2 + y2 + z2 - xy - yz - xz)

= (x + y + z) (x2 + y2 + z2 - xy - yz - xz)

= x3 + y3 + z3 - 3xyz = LHS.

Answered by Renu Varma | 10th Jun, 2022, 11:06: AM