en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

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

Solution

expand

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

Solution

x^{\frac{2}{3}} - x^{\frac{5}{3}}

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

x^{\frac{2}{3}} \cdot 1 = x^{\frac{2}{3}}

x^{\frac{2}{3}} x = x^{\frac{5}{3}}

= x^{\frac{2}{3}} - x^{\frac{5}{3}}

Popular Examples

area y= 1/x ,(1,4)

derivative of-e^xsin(y)

integral of ln^2(x+sqrt(x^2+1))

tangent of f(x)= 1/(x^2),(3, 1/9)

derivative of sin^8(cos(2x))

Frequently Asked Questions (FAQ)

What is expand x^{2/3}(1-x) ?
The solution to expand x^{2/3}(1-x) is x^{2/3}-x^{5/3}