What is expand ((x+5)(4x+320))/x ?

The solution to expand ((x+5)(4x+320))/x is 4x+340+(1600)/x

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expand ((x+5)(4x+320))/x

expand

\frac{( x + 5 ) ( 4 x + 320 )}{x}

4 x + 340 + \frac{1600}{x}

Solution steps

\frac{( x + 5 ) ( 4 x + 320 )}{x}

Expand

(x + 5) (4 x + 320) : 4 x^{2} + 340 x + 1600

= \frac{4 x ^{2} + 340 x + 1600}{x}

Apply the fraction rule:

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

\frac{4 x ^{2} + 340 x + 1600}{x} = \frac{4 x ^{2}}{x} + \frac{340 x}{x} + \frac{1600}{x}

= \frac{4 x ^{2}}{x} + \frac{340 x}{x} + \frac{1600}{x}

Cancel

\frac{4 x ^{2}}{x} : 4 x

= 4 x + \frac{340 x}{x} + \frac{1600}{x}

Cancel

\frac{340 x}{x} : 340

= 4 x + 340 + \frac{1600}{x}

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

(2 e^{- 4 t} + 2)^{3}

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

\frac{1}{( y - 4 ) ( y - 7 )}

\frac{2 + x ^{2}}{( x + 4 ) ( x ^{2} + 3 )}

What is expand ((x+5)(4x+320))/x ?
The solution to expand ((x+5)(4x+320))/x is 4x+340+(1600)/x