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

The solution to 3/(x^2)-x/(2y) is (6y-x^3)/(2x^2y)

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

simplify

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

\frac{6 y - x ^{3}}{2 x ^{2} y}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{6 y}{2 x ^{2} y} - \frac{x ^{3}}{2 x ^{2} y}

Apply the fraction rule:

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

= \frac{6 y - x ^{3}}{2 x ^{2} y}

0.7 5^{5}

4 x - 5 = - 5

a^{2} - 4 a - 12 = 0

\frac{10}{- 8}

\frac{2}{5} k - \frac{3}{5} + \frac{1}{10} k