What is 3/x+2/(3x^2)-7/(2x^3) ?

The solution to 3/x+2/(3x^2)-7/(2x^3) is (18x^2+4x-21)/(6x^3)

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simplify 3/x+2/(3x^2)-7/(2x^3)

simplify

\frac{3}{x} + \frac{2}{3 x ^{2}} - \frac{7}{2 x ^{3}}

\frac{18 x ^{2} + 4 x - 21}{6 x ^{3}}

Solution steps

\frac{3}{x} + \frac{2}{3 x ^{2}} - \frac{7}{2 x ^{3}}

Least Common Multiplier of

x, 3 x^{2}, 2 x^{3} : 6 x^{3}

Adjust Fractions based on the LCM

= \frac{18 x ^{2}}{6 x ^{3}} + \frac{4 x}{6 x ^{3}} - \frac{21}{6 x ^{3}}

Apply the fraction rule:

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

= \frac{18 x ^{2} + 4 x - 21}{6 x ^{3}}

\frac{cos ( x )}{cos ^{2} ( x )}

\frac{2}{2 + 1}

(3 x + 4) (9 x^{2} - 12 x + 16)

\frac{90}{18}

What is 3/x+2/(3x^2)-7/(2x^3) ?
The solution to 3/x+2/(3x^2)-7/(2x^3) is (18x^2+4x-21)/(6x^3)