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Popular >

expand (3(x+2))/(2x)

Solution

expand

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

Solution

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

Solution steps

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

Expand

3 (x + 2) : 3 x + 6

= \frac{3 x + 6}{2 x}

Apply the fraction rule:

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

\frac{3 x + 6}{2 x} = \frac{3 x}{2 x} + \frac{6}{2 x}

= \frac{3 x}{2 x} + \frac{6}{2 x}

Cancel

\frac{3 x}{2 x} : \frac{3}{2}

= \frac{3}{2} + \frac{6}{2 x}

Divide the numbers:

\frac{6}{2} = 3

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

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Frequently Asked Questions (FAQ)

What is expand (3(x+2))/(2x) ?
The solution to expand (3(x+2))/(2x) is 3/2+3/x