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

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

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Given that a, b, and c are in A.P.
Hence, if the common difference is d, then, `b = a + d and c = a + 2d`.
So. we have to prove that `a² + c² + 4ac = 2(ab + bc + ca).`
Now, `LHS = a² + c² + 4ac`
...
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