Question

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Answer 1

Answer:

for prove without expansion

put x = 1,y=2, z=3

L. H. S = (x-y)³ + (y-z)³ + (z-x)³

= (1-2)³ + (2-3)³+(3-1)³

=(-1)³+(-1)³+(2)³

=-1-1+8

=6

R. H. S = 3(x-y) (y-z) (z-x)

= 3(1-2)(2-3)(3-1)

= 3(-1)(-1)(2)

= 3*2

= 6

L. H. S = R. H. S

hence proved...

Answer 2

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