Talk:Sums of powers

I have found these

$(4x^{7}+108y^{7})^{3}+(4x^{7}-108y^{7})^{3}=(2x^{3})^{7}+(6xy^{2})^{7}$

above is outcome of the following formula

$(4^{n}x^{6n+1}+108^{n}y^{6n+1})^{3}+(4^{n}x^{6n+1}-108^{n}y^{6n+1})^{3}=(2x^{3})^{6n+1}+(6xy^{2})^{6n+1}$

Potato Imaginator (talk) 02:56, 14 August 2024 (UTC)