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

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

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expand ((x+h)^{2/3}-x^{2/3})/h

expand

\frac{( x + h ) ^{\frac{2}{3}} - x ^{\frac{2}{3}}}{h}

\frac{( x + h ) ^{\frac{2}{3}}}{h} - \frac{x ^{\frac{2}{3}}}{h}

Solution steps

\frac{( x + h ) ^{\frac{2}{3}} - x ^{\frac{2}{3}}}{h}

Apply the fraction rule:

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

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

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

(1 - e^{3 x})^{2}

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\frac{( 2 x + 1 )}{( x - 1 ) ( 2 x ^{3} + 6 x ^{2} - x + 4 )}

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sin (x) (csc (x) - 1)

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