en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (z^3-8)/(z^2+2z+4)

Solution

simplify

\frac{z ^{3} - 8}{z ^{2} + 2 z + 4}

Solution

z - 2

Solution steps

\frac{z ^{3} - 8}{z ^{2} + 2 z + 4}

Factor

z^{3} - 8 : (z - 2) (z^{2} + 2 z + 4)

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

Cancel the common factor:

z^{2} + 2 z + 4

= z - 2

Popular Examples

simplify 4/3-5/9 simplify

\frac{4}{3} - \frac{5}{9}

simplify 4/7*1/2 simplify

\frac{4}{7} \cdot \frac{1}{2}

simplify 9/2*5/9 simplify

\frac{9}{2} \cdot \frac{5}{9}

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

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

simplify ((-2jk^2)/(3km^4))^3 simplify

(\frac{- 2 j k ^{2}}{3 k m ^{4}})^{3}

Frequently Asked Questions (FAQ)

What is (z^3-8)/(z^2+2z+4) ?
The solution to (z^3-8)/(z^2+2z+4) is z-2