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

The solution to expand x^{2/3}(sqrt(x+1)-sqrt(x)) is x^{2/3}sqrt(x+1)-x^{7/6}

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

expand

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

x^{\frac{2}{3}} x + 1 - x^{\frac{7}{6}}

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

x^{\frac{2}{3}} x : x^{\frac{7}{6}}

= x^{\frac{2}{3}} x + 1 - x^{\frac{7}{6}}

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

δ, x i y y_{2} y_{3} (y_{4} - π)

\frac{3 s - 33}{( s ^{2} + 9 ) ( s + 2 ) ( s - 1 )}

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

sin (2) (x + h)

What is expand x^{2/3}(sqrt(x+1)-sqrt(x)) ?
The solution to expand x^{2/3}(sqrt(x+1)-sqrt(x)) is x^{2/3}sqrt(x+1)-x^{7/6}