What is (1/(y^2)-1)/(1+1/y) ?

The solution to (1/(y^2)-1)/(1+1/y) is -(y-1)/y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1/(y^2)-1)/(1+1/y)

simplify

\frac{\frac{1}{y ^{2}} - 1}{1 + \frac{1}{y}}

- \frac{y - 1}{y}

Solution steps

\frac{\frac{1}{y ^{2}} - 1}{1 + \frac{1}{y}}

Join

\frac{1}{y ^{2}} - 1 : \frac{- y ^{2} + 1}{y ^{2}}

= \frac{\frac{- y ^{2} + 1}{y ^{2}}}{1 + \frac{1}{y}}

Join

1 + \frac{1}{y} : \frac{y + 1}{y}

= \frac{\frac{- y ^{2} + 1}{y ^{2}}}{\frac{y + 1}{y}}

Apply the fraction rule:

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

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

Cancel

\frac{( - y ^{2} + 1 ) y}{y ^{2} ( y + 1 )} : - \frac{y - 1}{y}

= - \frac{y - 1}{y}

9 \div \frac{1}{2}

- 2 (- x)

- 3 x^{- 4}

(3 x + 1) (9 x^{2} - 3 x + 1)

lo g_{14} (196)