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\frac{8x^{3}-1}{2\left(6x^{4}-1\right)}
Multiply \frac{1}{2} times \frac{8x^{3}-1}{6x^{4}-1} by multiplying numerator times numerator and denominator times denominator.
\frac{8x^{3}-1}{12x^{4}-2}
Use the distributive property to multiply 2 by 6x^{4}-1.
\frac{8x^{3}-1}{2\left(6x^{4}-1\right)}
Multiply \frac{1}{2} times \frac{8x^{3}-1}{6x^{4}-1} by multiplying numerator times numerator and denominator times denominator.
\frac{8x^{3}-1}{12x^{4}-2}
Use the distributive property to multiply 2 by 6x^{4}-1.