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32v^{2}-4gv-g^{2}
Consider 32v^{2}-4vg-g^{2} as a polynomial over variable v.
\left(4v-g\right)\left(8v+g\right)
Find one factor of the form kv^{m}+n, where kv^{m} divides the monomial with the highest power 32v^{2} and n divides the constant factor -g^{2}. One such factor is 4v-g. Factor the polynomial by dividing it by this factor.