What is 2/x+3/(x^2) ?

The solution to 2/x+3/(x^2) is (2x+3)/(x^2)

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simplify 2/x+3/(x^2)

simplify

\frac{2}{x} + \frac{3}{x ^{2}}

\frac{2 x + 3}{x ^{2}}

Solution steps

\frac{2}{x} + \frac{3}{x ^{2}}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{2 x}{x ^{2}} + \frac{3}{x ^{2}}

Apply the fraction rule:

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

= \frac{2 x + 3}{x ^{2}}

(3 x + 2) (2 x - 5)

\frac{- 36}{- 2}

\frac{1}{2} \cdot \frac{7}{8}

(2 x + 3) (4 x^{2} + 2 x - 5)

\frac{5}{8} + \frac{1}{10}