What is expand (3(x+1))/(x[2]) ?

The solution to expand (3(x+1))/(x[2]) is 3/2+3/(2x)

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expand (3(x+1))/(x[2])

expand

\frac{3 ( x + 1 )}{x [ 2 ]}

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

Solution steps

\frac{3 ( x + 1 )}{x ( 2 )}

Remove parentheses:

(a) = a

= \frac{3 ( x + 1 )}{x \cdot 2}

Expand

3 (x + 1) : 3 x + 3

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

Apply the fraction rule:

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

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

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

Cancel

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

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

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What is expand (3(x+1))/(x[2]) ?
The solution to expand (3(x+1))/(x[2]) is 3/2+3/(2x)