Prove that every positive rational number can be represented in the form
![\dfrac{a^{3}+b^{3}}{c^{3}+d^{3}}](/media/m/0/b/6/0b69ddbd27485f2303df9b281cd8e717.png)
where a,b,c,d are positive integers.
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Prove that every positive rational number can be represented in the form $\dfrac{a^{3}+b^{3}}{c^{3}+d^{3}}$ where a,b,c,d are positive integers.