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