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

The solution to expand ((x+3)(sqrt(3x+1)+1))/3 is (xsqrt(3x+1))/3+x/3+sqrt(3x+1)+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

\frac{x 3 x + 1}{3} + \frac{x}{3} + 3 x + 1 + 1

Solution steps

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

Expand

(x + 3) (3 x + 1 + 1) : x 3 x + 1 + x + 3 3 x + 1 + 3

= \frac{x 3 x + 1 + x + 3 3 x + 1 + 3}{3}

Apply the fraction rule:

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

\frac{x 3 x + 1 + x + 3 3 x + 1 + 3}{3} = \frac{x 3 x + 1}{3} + \frac{x}{3} + \frac{3 3 x + 1}{3} + \frac{3}{3}

= \frac{x 3 x + 1}{3} + \frac{x}{3} + \frac{3 3 x + 1}{3} + \frac{3}{3}

Apply rule

\frac{a}{a} = 1

\frac{3}{3} = 1

= \frac{x 3 x + 1}{3} + \frac{x}{3} + \frac{3 3 x + 1}{3} + 1

Divide the numbers:

\frac{3}{3} = 1

= \frac{x 3 x + 1}{3} + \frac{x}{3} + 3 x + 1 + 1

e^{x} (x^{3} - 3 x)

\frac{1}{x ( a - b ln ( x ) )}

9 (e^{x} + cos (3 x) + sin (3 x))

(n + 1)! (n + 2) - 1

\frac{10}{[ s ( s + 2 ) ( s + 3 ) ^{2} ]}

What is expand ((x+3)(sqrt(3x+1)+1))/3 ?
The solution to expand ((x+3)(sqrt(3x+1)+1))/3 is (xsqrt(3x+1))/3+x/3+sqrt(3x+1)+1