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\frac{\left(x^{2}-3\right)x^{2}}{x^{2}}+\frac{1}{x^{2}}
To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2}-3 times \frac{x^{2}}{x^{2}}.
\frac{\left(x^{2}-3\right)x^{2}+1}{x^{2}}
Since \frac{\left(x^{2}-3\right)x^{2}}{x^{2}} and \frac{1}{x^{2}} have the same denominator, add them by adding their numerators.
\frac{x^{4}-3x^{2}+1}{x^{2}}
Do the multiplications in \left(x^{2}-3\right)x^{2}+1.