If a b c are in AP then prove that a^2(b+c) b^2(c+a) c^2(a+b) are in AP

Question : If a b c are in AP then prove that a^2(b+c) b^2(c+a) c^2(a+b) are in AP Proof:If a,b,c are in AP \[2b=a+c\] To prove that \[a^2(b+c), b^2(c+a), c^2(a+b)\] are in AP Or to prove that \[2 b^2(c+a) =…

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