What is expand ((x+8)(x+4))/x ?

The solution to expand ((x+8)(x+4))/x is x+12+(32)/x

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expand ((x+8)(x+4))/x

expand

\frac{( x + 8 ) ( x + 4 )}{x}

x + 12 + \frac{32}{x}

Solution steps

\frac{( x + 8 ) ( x + 4 )}{x}

Expand

(x + 8) (x + 4) : x^{2} + 12 x + 32

= \frac{x ^{2} + 12 x + 32}{x}

Apply the fraction rule:

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

\frac{x ^{2} + 12 x + 32}{x} = \frac{x ^{2}}{x} + \frac{12 x}{x} + \frac{32}{x}

= \frac{x ^{2}}{x} + \frac{12 x}{x} + \frac{32}{x}

Cancel

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

= x + \frac{12 x}{x} + \frac{32}{x}

Cancel

\frac{12 x}{x} : 12

= x + 12 + \frac{32}{x}

(y^{2} + x y) d x + x^{2} d y

3 (m x - 3 m - 1)^{2}

\frac{\partial}{\partial x} ((z) (3 x^{2} + 6 y^{2} + 4))

\frac{3 ab}{( a + b ) ^{3}}

\frac{\partial}{\partial x} ((z) (x y + z^{3} - 2 yz))

What is expand ((x+8)(x+4))/x ?
The solution to expand ((x+8)(x+4))/x is x+12+(32)/x