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Consider x^{7}+y^{7} as a polynomial over variable x. Find one factor of the form x^{k}+m, where x^{k} divides the monomial with the highest power x^{7} and m divides the constant factor y^{7}. One such factor is x+y. Factor the polynomial by dividing it by this factor.

Let x7 + y7 = x7 − (− y)7, then you can use the following formula from my answer to this post in order to factor the equation:

查找形式 x^{k}+m 的某个因数，其中 x^{k} 除具有最高次幂 x^{7} 的单项式，m 除常量因数 y^{7}。 其中一个因数是 x+y。 通过将多项式除以此因数来因式分解多项式。

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