What is expand ((u+2a)^3)/u ?

The solution to expand ((u+2a)^3)/u is u^2+6ua+12a^2+(8a^3)/u

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expand ((u+2a)^3)/u

expand

\frac{( u + 2 a ) ^{3}}{u}

u^{2} + 6 u a + 12 a^{2} + \frac{8 a ^{3}}{u}

Solution steps

\frac{( u + 2 a ) ^{3}}{u}

(u + 2 a)^{3} = u^{3} + 6 u^{2} a + 12 u a^{2} + 8 a^{3}

= \frac{u ^{3} + 6 u ^{2} a + 12 u a ^{2} + 8 a ^{3}}{u}

Apply the fraction rule:

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

\frac{u ^{3} + 6 u ^{2} a + 12 u a ^{2} + 8 a ^{3}}{u} = \frac{u ^{3}}{u} + \frac{6 u ^{2} a}{u} + \frac{12 u a ^{2}}{u} + \frac{8 a ^{3}}{u}

= \frac{u ^{3}}{u} + \frac{6 u ^{2} a}{u} + \frac{12 u a ^{2}}{u} + \frac{8 a ^{3}}{u}

Cancel

\frac{u ^{3}}{u} : u^{2}

= u^{2} + \frac{6 u ^{2} a}{u} + \frac{12 u a ^{2}}{u} + \frac{8 a ^{3}}{u}

Cancel

\frac{6 u ^{2} a}{u} : 6 u a

= u^{2} + 6 u a + \frac{12 u a ^{2}}{u} + \frac{8 a ^{3}}{u}

Cancel

\frac{12 u a ^{2}}{u} : 12 a^{2}

= u^{2} + 6 u a + 12 a^{2} + \frac{8 a ^{3}}{u}

d i s t r ib u t i v e (a - 2) (a - 4)

\frac{20000}{2600}

f (f (1, 1), 5 - f (3, 0))

2 (a + 3 = - 12)

(6 - b) tan (5 0^{\circ})

What is expand ((u+2a)^3)/u ?
The solution to expand ((u+2a)^3)/u is u^2+6ua+12a^2+(8a^3)/u