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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

2, x : 2 x

Adjust Fractions based on the LCM

= \frac{( 3 x + 2 ) x}{2 x} - \frac{2}{2 x}

Apply the fraction rule:

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

= \frac{( 3 x + 2 ) x - 2}{2 x}

Simplify

(3 x + 2) x - 2 : 3 x^{2} + 2 x - 2

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

e^{2.4}

1 0^{6}

- 6 - 6

5 x^{2} + 3 x

\frac{2 x - 1}{2 x ^{2} + 5 x + 3} + \frac{2}{3 x + 3}