What is expand ((2x-1)(4-3x))/x ?

The solution to expand ((2x-1)(4-3x))/x is -6x+11-4/x

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expand ((2x-1)(4-3x))/x

expand

\frac{( 2 x - 1 ) ( 4 - 3 x )}{x}

- 6 x + 11 - \frac{4}{x}

Solution steps

\frac{( 2 x - 1 ) ( 4 - 3 x )}{x}

Expand

(2 x - 1) (4 - 3 x) : - 6 x^{2} + 11 x - 4

= \frac{- 6 x ^{2} + 11 x - 4}{x}

Apply the fraction rule:

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

\frac{- 6 x ^{2} + 11 x - 4}{x} = - \frac{6 x ^{2}}{x} + \frac{11 x}{x} - \frac{4}{x}

= - \frac{6 x ^{2}}{x} + \frac{11 x}{x} - \frac{4}{x}

Cancel

\frac{6 x ^{2}}{x} : 6 x

= - 6 x + \frac{11 x}{x} - \frac{4}{x}

Cancel

\frac{11 x}{x} : 11

= - 6 x + 11 - \frac{4}{x}

ln (2) (x + y)

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

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

3 - \frac{2 π}{( - 1 + s ) ^{2} + 4 π ^{2}}

(- 5) \cdot 1 + (- 5) \cdot x

What is expand ((2x-1)(4-3x))/x ?
The solution to expand ((2x-1)(4-3x))/x is -6x+11-4/x