What is expand-((10-x)^4)/(25) ?

The solution to expand-((10-x)^4)/(25) is -(x^4}{25}+\frac{8x^3)/5-24x^2+160x-400

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand-((10-x)^4)/(25)

expand

- \frac{( 10 - x ) ^{4}}{25}

- \frac{x ^{4}}{25} + \frac{8 x ^{3}}{5} - 24 x^{2} + 160 x - 400

Solution steps

- \frac{( 10 - x ) ^{4}}{25}

(10 - x)^{4} = 10000 - 4000 x + 600 x^{2} - 40 x^{3} + x^{4}

= - \frac{x ^{4} - 40 x ^{3} + 600 x ^{2} - 4000 x + 10000}{25}

Apply the fraction rule:

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

\frac{10000 - 4000 x + 600 x ^{2} - 40 x ^{3} + x ^{4}}{25} = - (\frac{10000}{25}) - (- \frac{4000 x}{25}) - (\frac{600 x ^{2}}{25}) - (- \frac{40 x ^{3}}{25}) - (\frac{x ^{4}}{25})

= - (\frac{10000}{25}) - (- \frac{4000 x}{25}) - (\frac{600 x ^{2}}{25}) - (- \frac{40 x ^{3}}{25}) - (\frac{x ^{4}}{25})

Remove parentheses:

(a) = a, - (- a) = a

= - \frac{10000}{25} + \frac{4000 x}{25} - \frac{600 x ^{2}}{25} + \frac{40 x ^{3}}{25} - \frac{x ^{4}}{25}

\frac{10000}{25} = 400

\frac{4000 x}{25} = 160 x

\frac{600 x ^{2}}{25} = 24 x^{2}

\frac{40 x ^{3}}{25} = \frac{8 x ^{3}}{5}

= - 400 + 160 x - 24 x^{2} + \frac{8 x ^{3}}{5} - \frac{x ^{4}}{25}

Rewrite in standard form

= - \frac{x ^{4}}{25} + \frac{8 x ^{3}}{5} - 24 x^{2} + 160 x - 400

\frac{d}{d y} ((x) (y - p (x) x))

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

\frac{14 x ^{3}}{( x - 3 ) ^{2}}

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

\frac{( 0.2 ( 0.01 x ^{2} + 120 ) )}{x}

What is expand-((10-x)^4)/(25) ?
The solution to expand-((10-x)^4)/(25) is -(x^4}{25}+\frac{8x^3)/5-24x^2+160x-400