If $a, b, c$ are in A.P., then prove that the following are also in A.P. $a^{2} (b + c), b^{2} (c + a), c^{2} (a + b)$

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a, b, c

are in A.P., then prove that the following are also in A.P.

a^{2} (b + c), b^{2} (c + a), c^{2} (a + b)

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Question Text

a, b, c

are in A.P., then prove that the following are also in A.P.

a^{2} (b + c), b^{2} (c + a), c^{2} (a + b)

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