What is expand (x(1000-2x))/5 ?

The solution to expand (x(1000-2x))/5 is -(2x^2)/5+200x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x(1000-2x))/5

expand

\frac{x ( 1000 - 2 x )}{5}

- \frac{2 x ^{2}}{5} + 200 x

Solution steps

\frac{x ( 1000 - 2 x )}{5}

Expand

x (1000 - 2 x) : 1000 x - 2 x^{2}

= \frac{1000 x - 2 x ^{2}}{5}

Apply the fraction rule:

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

\frac{1000 x - 2 x ^{2}}{5} = \frac{1000 x}{5} - \frac{2 x ^{2}}{5}

= \frac{1000 x}{5} - \frac{2 x ^{2}}{5}

Divide the numbers:

\frac{1000}{5} = 200

= 200 x - \frac{2 x ^{2}}{5}

Rewrite in standard form

= - \frac{2 x ^{2}}{5} + 200 x

\frac{2 - 6 x - 3 x ^{2}}{( 1 + x ) ( 1 - 2 x ) ^{2}}

\frac{3}{4} (e^{- 2 t} - e^{- 10 t})

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

(x - x)^{3}

(1 + y e^{x y}) d x + (2 y + x e^{x y}) d y

What is expand (x(1000-2x))/5 ?
The solution to expand (x(1000-2x))/5 is -(2x^2)/5+200x