If a2, b2, c2 are in A.P then a2[b+c], b2[c+a], c2[a+b] are in A.P or not ?
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Means a, b , c are in AP.
but we have taken that a2, b2, c2 are in AP so our assumptions is true whenevr
a=b=c only.
You can check the same by putting some value of a,b,c but all equal.