What is 1/(x^2)-1/(x^3) ?

The solution to 1/(x^2)-1/(x^3) is (x-1)/(x^3)

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simplify 1/(x^2)-1/(x^3)

simplify

\frac{1}{x ^{2}} - \frac{1}{x ^{3}}

\frac{x - 1}{x ^{3}}

Solution steps

\frac{1}{x ^{2}} - \frac{1}{x ^{3}}

Least Common Multiplier of

x^{2}, x^{3} : x^{3}

Adjust Fractions based on the LCM

= \frac{x}{x ^{3}} - \frac{1}{x ^{3}}

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{x - 1}{x ^{3}}

3 a - 4 a

\frac{1}{4} \cdot \frac{4}{3}

\frac{4 + 9 i}{12 i}

\frac{1}{x} + \frac{1 - x}{x ^{2} + 2 x} - \frac{2}{x + 1}

\frac{1}{4} - 9 a^{2}