Solve $$ \frac{1}{x}+\frac{1}{x^{2}} $$

Question

UpStudy AI · Accepted Answer

1. Start with the expression:
   $$
   \frac{1}{x} + \frac{1}{x^{2}}
   $$

2. Determine the common denominator. Here, the denominators are $$x$$ and $$x^2$$. The common denominator is $$x^2$$.

3. Rewrite the first term so that it has the common denominator:
   $$
   \frac{1}{x} = \frac{x}{x^2}
   $$

4. Now, combine the fractions:
   $$
   \frac{x}{x^2} + \frac{1}{x^2} = \frac{x+1}{x^2}
   $$

The simplified expression is:
$$
\frac{x+1}{x^2}
$$
The simplified expression is $$ \frac{x+1}{x^2} $$.

Solve \( \frac{1}{x}+\frac{1}{x^{2}} \)