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