What is expand (a^3)/(s(s+a)^3) ?

The solution to expand (a^3)/(s(s+a)^3) is (a^3)/(s^4+3as^3+3a^2s^2+a^3s)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (a^3)/(s(s+a)^3)

expand

\frac{a ^{3}}{s ( s + a ) ^{3}}

\frac{a ^{3}}{s ^{4} + 3 a s ^{3} + 3 a ^{2} s ^{2} + a ^{3} s}

Solution steps

\frac{a ^{3}}{s ( s + a ) ^{3}}

(s + a)^{3} = s^{3} + 3 a s^{2} + 3 a^{2} s + a^{3}

= \frac{a ^{3}}{s ( s ^{3} + 3 a s ^{2} + 3 a ^{2} s + a ^{3} )}

Expand

s (s^{3} + 3 s^{2} a + 3 s a^{2} + a^{3}) : s^{4} + 3 a s^{3} + 3 a^{2} s^{2} + a^{3} s

= \frac{a ^{3}}{s ^{4} + 3 a s ^{3} + 3 a ^{2} s ^{2} + a ^{3} s}

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

\frac{43.668}{( 3 + 0.034 t ) ^{2}}

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

4 (m x - m + 4)^{2}

e^{x + 0.6} - 2 \cdot (x + 0.7)^{2}

What is expand (a^3)/(s(s+a)^3) ?
The solution to expand (a^3)/(s(s+a)^3) is (a^3)/(s^4+3as^3+3a^2s^2+a^3s)