Geometric Sequence

Algebra Level 3

Suppose that all the terms of the geometric sequence \(\{ a_n\}\) are positive. If \(a_1a_2=a_{10}\) and \( a_1+a_9 =20, \) what is the value of \[(a_1+a_3+a_5+a_7+a_9)(a_1-a_3+a_5-a_7+a_9)?\]

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