prove that a3+b3+c3-3abc=1/2{(a-b)2+(b-c)2+(c-a)2}
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Answer:
For verifying the given, we need to prove that the left hand side (L.H.S) of the equation is equal to right hand side (R.H.S)
Therefore R.H.S,
By using the formula
Then, as per the above formula the equation 1 becomes,
After simplification,
L.H.S=R.H.S
Hence, the given equation is proved, that the “left hand side” of the equation is equal to the “right hand side”.
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