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\frac{-4\left(8+w^{2}\right)}{\left(8+w^{2}\right)\times 2}
Divide \frac{-4}{8+w^{2}} by \frac{2}{8+w^{2}} by multiplying \frac{-4}{8+w^{2}} by the reciprocal of \frac{2}{8+w^{2}}.
-2
Cancel out 2\left(w^{2}+8\right) in both numerator and denominator.