Consider $7x^{2}+48xy-7y^{2}$ as a polynomial over variable $x$.
$$7x^{2}+48yx-7y^{2}$$
Find one factor of the form $kx^{m}+n$, where $kx^{m}$ divides the monomial with the highest power $7x^{2}$ and $n$ divides the constant factor $-7y^{2}$. One such factor is $7x-y$. Factor the polynomial by dividing it by this factor.
