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

The solution to expand (x^2(4-x^2))/2 is -(x^4)/2+2x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

- \frac{x ^{4}}{2} + 2 x^{2}

Solution steps

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

Expand

x^{2} (4 - x^{2}) : 4 x^{2} - x^{4}

= \frac{4 x ^{2} - x ^{4}}{2}

Apply the fraction rule:

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

\frac{4 x ^{2} - x ^{4}}{2} = \frac{4 x ^{2}}{2} - \frac{x ^{4}}{2}

= \frac{4 x ^{2}}{2} - \frac{x ^{4}}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2 x^{2} - \frac{x ^{4}}{2}

Rewrite in standard form

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

50 \cdot (cos (\frac{π}{3}))^{'}

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

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

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

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

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