What is expand (2x+5(5x^4-2))/x ?

The solution to expand (2x+5(5x^4-2))/x is 2+25x^3-(10)/x

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expand (2x+5(5x^4-2))/x

expand

\frac{2 x + 5 ( 5 x ^{4} - 2 )}{x}

2 + 25 x^{3} - \frac{10}{x}

Solution steps

\frac{2 x + 5 ( 5 x ^{4} - 2 )}{x}

Expand

2 x + 5 (5 x^{4} - 2) : 2 x + 25 x^{4} - 10

= \frac{2 x + 25 x ^{4} - 10}{x}

Apply the fraction rule:

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

\frac{2 x + 25 x ^{4} - 10}{x} = \frac{2 x}{x} + \frac{25 x ^{4}}{x} - \frac{10}{x}

= \frac{2 x}{x} + \frac{25 x ^{4}}{x} - \frac{10}{x}

Cancel

\frac{2 x}{x} : 2

= 2 + \frac{25 x ^{4}}{x} - \frac{10}{x}

Cancel

\frac{25 x ^{4}}{x} : 25 x^{3}

= 2 + 25 x^{3} - \frac{10}{x}

x (3 + 12 x = 0)

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

\frac{( x + 2 ) ( x - 3 )}{x ^{2} + 2 z - 15}

\frac{x + 3}{x ( x + 6 )}

\frac{1}{( T s + 1 ) \cdot s ^{2}}

What is expand (2x+5(5x^4-2))/x ?
The solution to expand (2x+5(5x^4-2))/x is 2+25x^3-(10)/x