What is expand ((x+h)^{1/4}-x^{1/4})/h ?

The solution to expand ((x+h)^{1/4}-x^{1/4})/h is ((x+h)^{1/4})/h-(x^{1/4})/h

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((x+h)^{1/4}-x^{1/4})/h

expand

\frac{( x + h ) ^{\frac{1}{4}} - x ^{\frac{1}{4}}}{h}

\frac{( x + h ) ^{\frac{1}{4}}}{h} - \frac{x ^{\frac{1}{4}}}{h}

Solution steps

\frac{( x + h ) ^{\frac{1}{4}} - x ^{\frac{1}{4}}}{h}

Apply the fraction rule:

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

\frac{( x + h ) ^{\frac{1}{4}} - x ^{\frac{1}{4}}}{h} = \frac{( x + h ) ^{\frac{1}{4}}}{h} - \frac{x ^{\frac{1}{4}}}{h}

= \frac{( x + h ) ^{\frac{1}{4}}}{h} - \frac{x ^{\frac{1}{4}}}{h}

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

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

\frac{( x ^{3} + 6 ) ^{2}}{225}

\frac{8 x ^{2} - 6 x}{( 8 x - 3 ) ^{2}}

4 (5 x - 7 = 10 x + 2)

What is expand ((x+h)^{1/4}-x^{1/4})/h ?
The solution to expand ((x+h)^{1/4}-x^{1/4})/h is ((x+h)^{1/4})/h-(x^{1/4})/h