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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

\frac{x - x ^{3}}{3 x - 1}

Solution steps

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

Apply exponent rule:

a^{- 1} = \frac{1}{a}

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

Join

3 - \frac{1}{x} : \frac{3 x - 1}{x}

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

Apply the fraction rule:

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

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

Expand

(1 - x^{2}) x : x - x^{3}

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

\frac{3 ( 3 sin ( 2 t ) - 2 cos ( 2 t ) )}{26}

(a x + b + 6 + 2 x) \cdot (x + 4 x^{2})

Z^{20} e - 2 x d x + Z^{103} x (x^{2} - 1) 5 d x

52 + 32

(csc (x) - cot (x))^{4}

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