Verify that x + y*+ z 3xyz = 5(x + y + 2) [(x – y) + (- 3) + - 1)] +43-5 13.
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Step-by-step explanation:
=(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.
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