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\frac{x-4}{2\left(x^{2}-4\right)}
Cancel out 3 in both numerator and denominator.
\frac{x-4}{2x^{2}-8}
Use the distributive property to multiply 2 by x^{2}-4.
\frac{x-4}{2\left(x^{2}-4\right)}
Cancel out 3 in both numerator and denominator.
\frac{x-4}{2x^{2}-8}
Use the distributive property to multiply 2 by x^{2}-4.