What is expand x^{1/2}(x^{4/5}-x^{7/5}) ?

The solution to expand x^{1/2}(x^{4/5}-x^{7/5}) is x^{13/10}-x^{19/10}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand x^{1/2}(x^{4/5}-x^{7/5})

expand

x^{\frac{1}{2}} (x^{\frac{4}{5}} - x^{\frac{7}{5}})

x^{\frac{13}{10}} - x^{\frac{19}{10}}

Solution steps

x^{\frac{1}{2}} (x^{\frac{4}{5}} - x^{\frac{7}{5}})

Apply the distributive law:

a (b - c) = ab - a c

x^{\frac{1}{2}} (x^{\frac{4}{5}} - x^{\frac{7}{5}}) = x^{\frac{1}{2}} x^{\frac{4}{5}} - x^{\frac{1}{2}} x^{\frac{7}{5}}

= x^{\frac{1}{2}} x^{\frac{4}{5}} - x^{\frac{1}{2}} x^{\frac{7}{5}}

x^{\frac{1}{2}} x^{\frac{4}{5}} = x^{\frac{13}{10}}

x^{\frac{1}{2}} x^{\frac{7}{5}} = x^{\frac{19}{10}}

= x^{\frac{13}{10}} - x^{\frac{19}{10}}

(1 + \frac{x - 1}{x}) (1 - \frac{1}{x + 1})

(x + 5) (x - 3)

sec (b) (csc (b) + 1)

(1 + \frac{x}{2})^{18}

What is expand x^{1/2}(x^{4/5}-x^{7/5}) ?
The solution to expand x^{1/2}(x^{4/5}-x^{7/5}) is x^{13/10}-x^{19/10}