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If a be one A.M and G1 and G2 be then ge...

If a be one A.M and `G_1` and `G_2` be then geometric means between b and c then `G_1^3+G_2^3=`

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To solve the problem step by step, we will derive the expression for \( G_1^3 + G_2^3 \) using the given information about the arithmetic mean (A.M) and geometric means (G.M). ### Step 1: Understand the relationship between A.M, G.M, and the numbers Given that \( A \) is the arithmetic mean of \( b \) and \( c \), we can express this as: \[ A = \frac{b + c}{2} \] From this, we can derive: ...
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