What is expand ((x-5)(x^2-25))/x ?

The solution to expand ((x-5)(x^2-25))/x is x^2-25-5x+(125)/x

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expand ((x-5)(x^2-25))/x

expand

\frac{( x - 5 ) ( x ^{2} - 25 )}{x}

x^{2} - 25 - 5 x + \frac{125}{x}

Solution steps

\frac{( x - 5 ) ( x ^{2} - 25 )}{x}

Expand

(x - 5) (x^{2} - 25) : x^{3} - 25 x - 5 x^{2} + 125

= \frac{x ^{3} - 25 x - 5 x ^{2} + 125}{x}

Apply the fraction rule:

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

\frac{x ^{3} - 25 x - 5 x ^{2} + 125}{x} = \frac{x ^{3}}{x} - \frac{25 x}{x} - \frac{5 x ^{2}}{x} + \frac{125}{x}

= \frac{x ^{3}}{x} - \frac{25 x}{x} - \frac{5 x ^{2}}{x} + \frac{125}{x}

Cancel

\frac{x ^{3}}{x} : x^{2}

= x^{2} - \frac{25 x}{x} - \frac{5 x ^{2}}{x} + \frac{125}{x}

Cancel

\frac{25 x}{x} : 25

= x^{2} - 25 - \frac{5 x ^{2}}{x} + \frac{125}{x}

Cancel

\frac{5 x ^{2}}{x} : 5 x

= x^{2} - 25 - 5 x + \frac{125}{x}

(- 7 x^{2} + 4 x - 5) - (Q (x) = 2 x - 7)

\frac{3}{( 2 x - 1 ) ^{8}}

3 (y^{2} + 2 x y \frac{d y}{d x})

\frac{5 ( x - 1 )}{2 x + 3}

\frac{( x - 5 )}{( 2 x ( 3 x - 4 ) )}

What is expand ((x-5)(x^2-25))/x ?
The solution to expand ((x-5)(x^2-25))/x is x^2-25-5x+(125)/x