What is 3/(2x)-9/(2x^2) ?

The solution to 3/(2x)-9/(2x^2) is (3x-9)/(2x^2)

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simplify 3/(2x)-9/(2x^2)

simplify

\frac{3}{2 x} - \frac{9}{2 x ^{2}}

\frac{3 x - 9}{2 x ^{2}}

Solution steps

\frac{3}{2 x} - \frac{9}{2 x ^{2}}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{3 x}{2 x ^{2}} - \frac{9}{2 x ^{2}}

Apply the fraction rule:

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

= \frac{3 x - 9}{2 x ^{2}}

\frac{2}{3 6}

\frac{1}{3} \times (- 4)

+ x^{4} + 4 x

x^{3} x^{3}

2 x^{2} 25 x^{5} y^{3}