What is expand ([(x+h)+5]^{2/3}-(x+5)^{2/3})/h ?

The solution to expand ([(x+h)+5]^{2/3}-(x+5)^{2/3})/h is ((x+h+5)^{2/3})/h-((x+5)^{2/3})/h

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expand ([(x+h)+5]^{2/3}-(x+5)^{2/3})/h

expand

\frac{[ ( x + h ) + 5 ] ^{\frac{2}{3}} - ( x + 5 ) ^{\frac{2}{3}}}{h}

\frac{( x + h + 5 ) ^{\frac{2}{3}}}{h} - \frac{( x + 5 ) ^{\frac{2}{3}}}{h}

Solution steps

\frac{( ( x + h ) + 5 ) ^{\frac{2}{3}} - ( x + 5 ) ^{\frac{2}{3}}}{h}

Remove parentheses:

(a) = a

= \frac{( x + h + 5 ) ^{\frac{2}{3}} - ( x + 5 ) ^{\frac{2}{3}}}{h}

Apply the fraction rule:

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

\frac{( x + h + 5 ) ^{\frac{2}{3}} - ( x + 5 ) ^{\frac{2}{3}}}{h} = \frac{( x + h + 5 ) ^{\frac{2}{3}}}{h} - \frac{( x + 5 ) ^{\frac{2}{3}}}{h}

= \frac{( x + h + 5 ) ^{\frac{2}{3}}}{h} - \frac{( x + 5 ) ^{\frac{2}{3}}}{h}

\frac{8}{( s ^{2} + 1 ) ( s ^{2} + 9 )}

\frac{( 2 y + 1 ) ^{2}}{4}

- 3 (- 27 π^{3} - 1)

\frac{3 e ^{- 2 s}}{s ( s + 1 ) ( s - 3 )}

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

What is expand ([(x+h)+5]^{2/3}-(x+5)^{2/3})/h ?
The solution to expand ([(x+h)+5]^{2/3}-(x+5)^{2/3})/h is ((x+h+5)^{2/3})/h-((x+5)^{2/3})/h