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\frac{6x^{2}+1}{2\left(x^{2}-2\right)}-0
Factor 2x^{2}-4.
\frac{6x^{2}+1}{2\left(x^{2}-2\right)}-\frac{0\times 2\left(x^{2}-2\right)}{2\left(x^{2}-2\right)}
To add or subtract expressions, expand them to make their denominators the same. Multiply 0 times \frac{2\left(x^{2}-2\right)}{2\left(x^{2}-2\right)}.
\frac{6x^{2}+1-0\times 2\left(x^{2}-2\right)}{2\left(x^{2}-2\right)}
Since \frac{6x^{2}+1}{2\left(x^{2}-2\right)} and \frac{0\times 2\left(x^{2}-2\right)}{2\left(x^{2}-2\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{6x^{2}+1}{2\left(x^{2}-2\right)}
Do the multiplications in 6x^{2}+1-0\times 2\left(x^{2}-2\right).
\frac{6x^{2}+1}{2x^{2}-4}
Expand 2\left(x^{2}-2\right).
\frac{6x^{2}+1}{2\left(x^{2}-2\right)}-0
Factor 2x^{2}-4.
\frac{6x^{2}+1}{2\left(x^{2}-2\right)}-\frac{0\times 2\left(x^{2}-2\right)}{2\left(x^{2}-2\right)}
To add or subtract expressions, expand them to make their denominators the same. Multiply 0 times \frac{2\left(x^{2}-2\right)}{2\left(x^{2}-2\right)}.
\frac{6x^{2}+1-0\times 2\left(x^{2}-2\right)}{2\left(x^{2}-2\right)}
Since \frac{6x^{2}+1}{2\left(x^{2}-2\right)} and \frac{0\times 2\left(x^{2}-2\right)}{2\left(x^{2}-2\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{6x^{2}+1}{2\left(x^{2}-2\right)}
Do the multiplications in 6x^{2}+1-0\times 2\left(x^{2}-2\right).
\frac{6x^{2}+1}{2x^{2}-4}
Expand 2\left(x^{2}-2\right).