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

The solution to expand (2(1+x)sqrt(1+x))/3 is (2sqrt(1+x))/3+(2xsqrt(1+x))/3

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

expand

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

\frac{2 1 + x}{3} + \frac{2 x 1 + x}{3}

Solution steps

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

Expand

2 (1 + x) 1 + x : 2 1 + x + 2 x 1 + x

= \frac{2 x + 1 + 2 x x + 1}{3}

Apply the fraction rule:

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

\frac{2 1 + x + 2 x 1 + x}{3} = \frac{2 1 + x}{3} + \frac{2 x 1 + x}{3}

= \frac{2 x + 1}{3} + \frac{2 x x + 1}{3}

(x + 1) (x + 4 = x^{2} + 14)

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

(X - 1) X^{'}

\frac{( ( x + y + 1 ) )}{2}

\frac{( x + 1 ) ^{4}}{8}

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