en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^6-8)/(x^2-2)

Solution

simplify

\frac{x ^{6} - 8}{x ^{2} - 2}

Solution

x^{4} + 2 x^{2} + 4

Solution steps

\frac{x ^{6} - 8}{x ^{2} - 2}

Factor

x^{6} - 8 : (x^{2} - 2) (x^{4} + 2 x^{2} + 4)

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

Cancel the common factor:

x^{2} - 2

= x^{4} + 2 x^{2} + 4

Popular Examples

simplify sqrt(2\sqrt{i-\sqrt{i+\sqrt[5]{i)}}}simplify

simplify (18x^3y^5)/(2y)*(xy^2)/(3x^3y^7)simplify

\frac{18 x ^{3} y ^{5}}{2 y} \cdot \frac{x y ^{2}}{3 x ^{3} y ^{7}}

simplify 5/6*3/5 simplify

\frac{5}{6} \cdot \frac{3}{5}

\frac{112}{3}

simplify (x-7)/(-5x+40)*(x^2-64)/(-4x+28)simplify

\frac{x - 7}{- 5 x + 40} \cdot \frac{x ^{2} - 64}{- 4 x + 28}

Frequently Asked Questions (FAQ)

What is (x^6-8)/(x^2-2) ?
The solution to (x^6-8)/(x^2-2) is x^4+2x^2+4