What is expand (5(2x+3))/(2x) ?

The solution to expand (5(2x+3))/(2x) is 5+(15)/(2x)

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expand (5(2x+3))/(2x)

expand

\frac{5 ( 2 x + 3 )}{2 x}

5 + \frac{15}{2 x}

Solution steps

\frac{5 ( 2 x + 3 )}{2 x}

Expand

5 (2 x + 3) : 10 x + 15

= \frac{10 x + 15}{2 x}

Apply the fraction rule:

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

\frac{10 x + 15}{2 x} = \frac{10 x}{2 x} + \frac{15}{2 x}

= \frac{10 x}{2 x} + \frac{15}{2 x}

Cancel

\frac{10 x}{2 x} : 5

= 5 + \frac{15}{2 x}

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(e^{i 2 t} + e^{- i 2 t})^{2}

6 x^{2} + 3 x - 9 - 2 x^{2} + 4 x - 1

What is expand (5(2x+3))/(2x) ?
The solution to expand (5(2x+3))/(2x) is 5+(15)/(2x)