What is expand ((x-4)(125x-500))/6 ?

The solution to expand ((x-4)(125x-500))/6 is (125x^2)/6-(500x)/3+1000/3

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expand ((x-4)(125x-500))/6

expand

\frac{( x - 4 ) ( 125 x - 500 )}{6}

\frac{125 x ^{2}}{6} - \frac{500 x}{3} + \frac{1000}{3}

Solution steps

\frac{( x - 4 ) ( 125 x - 500 )}{6}

Expand

(x - 4) (125 x - 500) : 125 x^{2} - 1000 x + 2000

= \frac{125 x ^{2} - 1000 x + 2000}{6}

Apply the fraction rule:

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

\frac{125 x ^{2} - 1000 x + 2000}{6} = \frac{125 x ^{2}}{6} - \frac{1000 x}{6} + \frac{2000}{6}

= \frac{125 x ^{2}}{6} - \frac{1000 x}{6} + \frac{2000}{6}

Cancel

\frac{1000 x}{6} : \frac{500 x}{3}

= \frac{125 x ^{2}}{6} - \frac{500 x}{3} + \frac{2000}{6}

Cancel

\frac{2000}{6} : \frac{1000}{3}

= \frac{125 x ^{2}}{6} - \frac{500 x}{3} + \frac{1000}{3}

\frac{( 1 + e ^{x} )}{x ^{4}}

- 2 (3 x + 2 y = 29)

x y d x + (2 x^{2} + 3 y^{2} - 20) d y

\frac{( 2 + x ) ^{2}}{25}

\frac{d ^{2}}{d x ^{2}} ((y) x (x - 2))

What is expand ((x-4)(125x-500))/6 ?
The solution to expand ((x-4)(125x-500))/6 is (125x^2)/6-(500x)/3+1000/3