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\frac{-x}{x^{2}}+\frac{1}{x^{2}}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and x^{2} is x^{2}. Multiply \frac{-1}{x} times \frac{x}{x}.
\frac{-x+1}{x^{2}}
Since \frac{-x}{x^{2}} and \frac{1}{x^{2}} have the same denominator, add them by adding their numerators.