What is expand ((x+4)(81+6x))/x ?

The solution to expand ((x+4)(81+6x))/x is 6x+105+(324)/x

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expand ((x+4)(81+6x))/x

expand

\frac{( x + 4 ) ( 81 + 6 x )}{x}

6 x + 105 + \frac{324}{x}

Solution steps

\frac{( x + 4 ) ( 81 + 6 x )}{x}

Expand

(x + 4) (81 + 6 x) : 6 x^{2} + 105 x + 324

= \frac{6 x ^{2} + 105 x + 324}{x}

Apply the fraction rule:

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

\frac{6 x ^{2} + 105 x + 324}{x} = \frac{6 x ^{2}}{x} + \frac{105 x}{x} + \frac{324}{x}

= \frac{6 x ^{2}}{x} + \frac{105 x}{x} + \frac{324}{x}

Cancel

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

= 6 x + \frac{105 x}{x} + \frac{324}{x}

Cancel

\frac{105 x}{x} : 105

= 6 x + 105 + \frac{324}{x}

\frac{6 x + 8}{x ( x + 4 )}

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

(a^{n + 1})^{2}

ln (3) e^{x} (x - 1)

(x - 1)^{2} d x

What is expand ((x+4)(81+6x))/x ?
The solution to expand ((x+4)(81+6x))/x is 6x+105+(324)/x