What is (y+2}{(y+2)^2}*\frac{y^2-4)/y ?

The solution to (y+2}{(y+2)^2}*\frac{y^2-4)/y is (y-2)/y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (y+2}{(y+2)^2}*\frac{y^2-4)/y

simplify

\frac{y + 2}{( y + 2 ) ^{2}} \cdot \frac{y ^{2} - 4}{y}

\frac{y - 2}{y}

Solution steps

\frac{y + 2}{( y + 2 ) ^{2}} \cdot \frac{y ^{2} - 4}{y}

Cancel

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

= \frac{1}{y + 2} \cdot \frac{y ^{2} - 4}{y}

Apply the fraction rule:

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

= \frac{1 \cdot ( y ^{2} - 4 )}{( y + 2 ) y}

Apply rule:

1 \cdot a = a

1 \cdot (y^{2} - 4) = (y^{2} - 4)

= \frac{y ^{2} - 4}{( y + 2 ) y}

Factor

y^{2} - 4 : (y + 2) (y - 2)

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

Cancel the common factor:

y + 2

= \frac{y - 2}{y}

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

\frac{x ^{2} + 8 x + 15}{x ^{2} - 9}

\frac{67}{2}

\frac{1}{\frac{1}{27}}

\frac{tan ( x )}{sec ^{2} ( x )}

What is (y+2}{(y+2)^2}*\frac{y^2-4)/y ?
The solution to (y+2}{(y+2)^2}*\frac{y^2-4)/y is (y-2)/y