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If a ,b ,c are in A.P., prove that: (a-c...

If `a ,b ,c` are in A.P., prove that: `(a-c)^2=4(a-b)(b-c)` `a^2+c^2+4a c=2(a b+b c+c a)` `a^3+c^3+6a b c=8b^3`

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