What is expand (2(1+sqrt(x))^3)/3 ?

The solution to expand (2(1+sqrt(x))^3)/3 is 2/3+2sqrt(x)+2x+(2x^{3/2})/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2(1+sqrt(x))^3)/3

expand

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

\frac{2}{3} + 2 x + 2 x + \frac{2 x ^{\frac{3}{2}}}{3}

Solution steps

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

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

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

Expand

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

= \frac{2 + 6 x + 6 x + 2 x ^{\frac{3}{2}}}{3}

Apply the fraction rule:

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

\frac{2 + 6 x + 6 x + 2 x ^{\frac{3}{2}}}{3} = \frac{2}{3} + \frac{6 x}{3} + \frac{6 x}{3} + \frac{2 x ^{\frac{3}{2}}}{3}

= \frac{2}{3} + \frac{6 x}{3} + \frac{6 x}{3} + \frac{2 x ^{\frac{3}{2}}}{3}

Divide the numbers:

\frac{6}{3} = 2

= \frac{2}{3} + 2 x + 2 x + \frac{2 x ^{\frac{3}{2}}}{3}

(3 + 3 i - 4 i t) e^{- 1 + i}

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

(\frac{3}{4} e^{t} + \frac{1}{4})^{10}

(\frac{( x + 1 )}{2 x})^{9}

P (1, - 4) y

What is expand (2(1+sqrt(x))^3)/3 ?
The solution to expand (2(1+sqrt(x))^3)/3 is 2/3+2sqrt(x)+2x+(2x^{3/2})/3