9. TBQ - Sum of two cube numbers

The next two taxicab numbers after \(1729\) are \(4104\) and \(13832\). Determine the two ways in which each of these can be expressed as the sum of two positive cubes.
 
\(4104 =\) 23+i3
 
\(4104 =\) i3+153
 
\(13832\) \(=\) 183+i3
 
\(13832\) \(=\) i3+243
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