What is expand ((x+1)(2x+1))/x ?

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

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expand ((x+1)(2x+1))/x

expand

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

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

Solution steps

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

Expand

(x + 1) (2 x + 1) : 2 x^{2} + 3 x + 1

= \frac{2 x ^{2} + 3 x + 1}{x}

Apply the fraction rule:

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

\frac{2 x ^{2} + 3 x + 1}{x} = \frac{2 x ^{2}}{x} + \frac{3 x}{x} + \frac{1}{x}

= \frac{2 x ^{2}}{x} + \frac{3 x}{x} + \frac{1}{x}

Cancel

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

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

Cancel

\frac{3 x}{x} : 3

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

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

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

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

x \cdot 7 x^{2}

e^{x} (2 x + e^{- x})

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