12. Verify that rº + y2 + x2-3xyz = + (x + y + z)[(x - y)² + (y – z)? + (z – x)?] x 'y(9-3+– v)] 2 13 TE - ho 3 3
Answers
Answered by
1
Answer:
We have, L.H.S.=x
3
+y
3
+z
3
−3xyz
=(x+y+z)(x
2
+y
2
+z
2
−xy−yz−zx) [by poynomial identity]
=
2
1
(x+y+z)(2x
2
+2y
2
+2z
2
−2xy−2yz−2zx)
=
2
1
[(x+y+z)(x−y)
2
+(y−z)
2
+(z−x)
2
]
Hence proved.
Answered by
0
Answer:
1/2(x+y+z) 2[x²+y²+z²-xy-yz-zx]
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