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

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

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expand (x+1)/(x^{2/3)(x+3)^{1/3}}

expand

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

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

Solution steps

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

Apply the fraction rule:

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

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

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

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

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

\frac{2 ( x ^{4} - 1 )}{x ^{3}}

(2 - e^{- x})^{2}

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

2 (62 + 19) (62 - 19)

x (x - 1)

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